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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math.linear;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import java.io.Serializable;<a name="line.20"></a>
<FONT color="green">021</FONT>    <a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math.Field;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math.FieldElement;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math.MathRuntimeException;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math.linear.MatrixVisitorException;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math.exception.util.LocalizedFormats;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math.util.FastMath;<a name="line.27"></a>
<FONT color="green">028</FONT>    <a name="line.28"></a>
<FONT color="green">029</FONT>    /**<a name="line.29"></a>
<FONT color="green">030</FONT>     * Cache-friendly implementation of FieldMatrix using a flat arrays to store<a name="line.30"></a>
<FONT color="green">031</FONT>     * square blocks of the matrix.<a name="line.31"></a>
<FONT color="green">032</FONT>     * &lt;p&gt;<a name="line.32"></a>
<FONT color="green">033</FONT>     * This implementation is specially designed to be cache-friendly. Square blocks are<a name="line.33"></a>
<FONT color="green">034</FONT>     * stored as small arrays and allow efficient traversal of data both in row major direction<a name="line.34"></a>
<FONT color="green">035</FONT>     * and columns major direction, one block at a time. This greatly increases performances<a name="line.35"></a>
<FONT color="green">036</FONT>     * for algorithms that use crossed directions loops like multiplication or transposition.<a name="line.36"></a>
<FONT color="green">037</FONT>     * &lt;/p&gt;<a name="line.37"></a>
<FONT color="green">038</FONT>     * &lt;p&gt;<a name="line.38"></a>
<FONT color="green">039</FONT>     * The size of square blocks is a static parameter. It may be tuned according to the cache<a name="line.39"></a>
<FONT color="green">040</FONT>     * size of the target computer processor. As a rule of thumbs, it should be the largest<a name="line.40"></a>
<FONT color="green">041</FONT>     * value that allows three blocks to be simultaneously cached (this is necessary for example<a name="line.41"></a>
<FONT color="green">042</FONT>     * for matrix multiplication). The default value is to use 36x36 blocks.<a name="line.42"></a>
<FONT color="green">043</FONT>     * &lt;/p&gt;<a name="line.43"></a>
<FONT color="green">044</FONT>     * &lt;p&gt;<a name="line.44"></a>
<FONT color="green">045</FONT>     * The regular blocks represent {@link #BLOCK_SIZE} x {@link #BLOCK_SIZE} squares. Blocks<a name="line.45"></a>
<FONT color="green">046</FONT>     * at right hand side and bottom side which may be smaller to fit matrix dimensions. The square<a name="line.46"></a>
<FONT color="green">047</FONT>     * blocks are flattened in row major order in single dimension arrays which are therefore<a name="line.47"></a>
<FONT color="green">048</FONT>     * {@link #BLOCK_SIZE}&lt;sup&gt;2&lt;/sup&gt; elements long for regular blocks. The blocks are themselves<a name="line.48"></a>
<FONT color="green">049</FONT>     * organized in row major order.<a name="line.49"></a>
<FONT color="green">050</FONT>     * &lt;/p&gt;<a name="line.50"></a>
<FONT color="green">051</FONT>     * &lt;p&gt;<a name="line.51"></a>
<FONT color="green">052</FONT>     * As an example, for a block size of 36x36, a 100x60 matrix would be stored in 6 blocks.<a name="line.52"></a>
<FONT color="green">053</FONT>     * Block 0 would be a Field[1296] array holding the upper left 36x36 square, block 1 would be<a name="line.53"></a>
<FONT color="green">054</FONT>     * a Field[1296] array holding the upper center 36x36 square, block 2 would be a Field[1008]<a name="line.54"></a>
<FONT color="green">055</FONT>     * array holding the upper right 36x28 rectangle, block 3 would be a Field[864] array holding<a name="line.55"></a>
<FONT color="green">056</FONT>     * the lower left 24x36 rectangle, block 4 would be a Field[864] array holding the lower center<a name="line.56"></a>
<FONT color="green">057</FONT>     * 24x36 rectangle and block 5 would be a Field[672] array holding the lower right 24x28<a name="line.57"></a>
<FONT color="green">058</FONT>     * rectangle.<a name="line.58"></a>
<FONT color="green">059</FONT>     * &lt;/p&gt;<a name="line.59"></a>
<FONT color="green">060</FONT>     * &lt;p&gt;<a name="line.60"></a>
<FONT color="green">061</FONT>     * The layout complexity overhead versus simple mapping of matrices to java<a name="line.61"></a>
<FONT color="green">062</FONT>     * arrays is negligible for small matrices (about 1%). The gain from cache efficiency leads<a name="line.62"></a>
<FONT color="green">063</FONT>     * to up to 3-fold improvements for matrices of moderate to large size.<a name="line.63"></a>
<FONT color="green">064</FONT>     * &lt;/p&gt;<a name="line.64"></a>
<FONT color="green">065</FONT>     * @param &lt;T&gt; the type of the field elements<a name="line.65"></a>
<FONT color="green">066</FONT>     * @version $Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 f??vr. 2011) $<a name="line.66"></a>
<FONT color="green">067</FONT>     * @since 2.0<a name="line.67"></a>
<FONT color="green">068</FONT>     */<a name="line.68"></a>
<FONT color="green">069</FONT>    public class BlockFieldMatrix&lt;T extends FieldElement&lt;T&gt;&gt; extends AbstractFieldMatrix&lt;T&gt; implements Serializable {<a name="line.69"></a>
<FONT color="green">070</FONT>    <a name="line.70"></a>
<FONT color="green">071</FONT>        /** Block size. */<a name="line.71"></a>
<FONT color="green">072</FONT>        public static final int BLOCK_SIZE = 36;<a name="line.72"></a>
<FONT color="green">073</FONT>    <a name="line.73"></a>
<FONT color="green">074</FONT>        /** Serializable version identifier */<a name="line.74"></a>
<FONT color="green">075</FONT>        private static final long serialVersionUID = -4602336630143123183L;<a name="line.75"></a>
<FONT color="green">076</FONT>    <a name="line.76"></a>
<FONT color="green">077</FONT>        /** Blocks of matrix entries. */<a name="line.77"></a>
<FONT color="green">078</FONT>        private final T blocks[][];<a name="line.78"></a>
<FONT color="green">079</FONT>    <a name="line.79"></a>
<FONT color="green">080</FONT>        /** Number of rows of the matrix. */<a name="line.80"></a>
<FONT color="green">081</FONT>        private final int rows;<a name="line.81"></a>
<FONT color="green">082</FONT>    <a name="line.82"></a>
<FONT color="green">083</FONT>        /** Number of columns of the matrix. */<a name="line.83"></a>
<FONT color="green">084</FONT>        private final int columns;<a name="line.84"></a>
<FONT color="green">085</FONT>    <a name="line.85"></a>
<FONT color="green">086</FONT>        /** Number of block rows of the matrix. */<a name="line.86"></a>
<FONT color="green">087</FONT>        private final int blockRows;<a name="line.87"></a>
<FONT color="green">088</FONT>    <a name="line.88"></a>
<FONT color="green">089</FONT>        /** Number of block columns of the matrix. */<a name="line.89"></a>
<FONT color="green">090</FONT>        private final int blockColumns;<a name="line.90"></a>
<FONT color="green">091</FONT>    <a name="line.91"></a>
<FONT color="green">092</FONT>        /**<a name="line.92"></a>
<FONT color="green">093</FONT>         * Create a new matrix with the supplied row and column dimensions.<a name="line.93"></a>
<FONT color="green">094</FONT>         *<a name="line.94"></a>
<FONT color="green">095</FONT>         * @param field field to which the elements belong<a name="line.95"></a>
<FONT color="green">096</FONT>         * @param rows  the number of rows in the new matrix<a name="line.96"></a>
<FONT color="green">097</FONT>         * @param columns  the number of columns in the new matrix<a name="line.97"></a>
<FONT color="green">098</FONT>         * @throws IllegalArgumentException if row or column dimension is not<a name="line.98"></a>
<FONT color="green">099</FONT>         *  positive<a name="line.99"></a>
<FONT color="green">100</FONT>         */<a name="line.100"></a>
<FONT color="green">101</FONT>        public BlockFieldMatrix(final Field&lt;T&gt; field, final int rows, final int columns)<a name="line.101"></a>
<FONT color="green">102</FONT>            throws IllegalArgumentException {<a name="line.102"></a>
<FONT color="green">103</FONT>    <a name="line.103"></a>
<FONT color="green">104</FONT>            super(field, rows, columns);<a name="line.104"></a>
<FONT color="green">105</FONT>            this.rows    = rows;<a name="line.105"></a>
<FONT color="green">106</FONT>            this.columns = columns;<a name="line.106"></a>
<FONT color="green">107</FONT>    <a name="line.107"></a>
<FONT color="green">108</FONT>            // number of blocks<a name="line.108"></a>
<FONT color="green">109</FONT>            blockRows    = (rows    + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.109"></a>
<FONT color="green">110</FONT>            blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.110"></a>
<FONT color="green">111</FONT>    <a name="line.111"></a>
<FONT color="green">112</FONT>            // allocate storage blocks, taking care of smaller ones at right and bottom<a name="line.112"></a>
<FONT color="green">113</FONT>            blocks = createBlocksLayout(field, rows, columns);<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>        }<a name="line.115"></a>
<FONT color="green">116</FONT>    <a name="line.116"></a>
<FONT color="green">117</FONT>        /**<a name="line.117"></a>
<FONT color="green">118</FONT>         * Create a new dense matrix copying entries from raw layout data.<a name="line.118"></a>
<FONT color="green">119</FONT>         * &lt;p&gt;The input array &lt;em&gt;must&lt;/em&gt; already be in raw layout.&lt;/p&gt;<a name="line.119"></a>
<FONT color="green">120</FONT>         * &lt;p&gt;Calling this constructor is equivalent to call:<a name="line.120"></a>
<FONT color="green">121</FONT>         * &lt;pre&gt;matrix = new BlockFieldMatrix&lt;T&gt;(getField(), rawData.length, rawData[0].length,<a name="line.121"></a>
<FONT color="green">122</FONT>         *                                   toBlocksLayout(rawData), false);&lt;/pre&gt;<a name="line.122"></a>
<FONT color="green">123</FONT>         * &lt;/p&gt;<a name="line.123"></a>
<FONT color="green">124</FONT>         * @param rawData data for new matrix, in raw layout<a name="line.124"></a>
<FONT color="green">125</FONT>         *<a name="line.125"></a>
<FONT color="green">126</FONT>         * @exception IllegalArgumentException if &lt;code&gt;blockData&lt;/code&gt; shape is<a name="line.126"></a>
<FONT color="green">127</FONT>         * inconsistent with block layout<a name="line.127"></a>
<FONT color="green">128</FONT>         * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.128"></a>
<FONT color="green">129</FONT>         */<a name="line.129"></a>
<FONT color="green">130</FONT>        public BlockFieldMatrix(final T[][] rawData)<a name="line.130"></a>
<FONT color="green">131</FONT>            throws IllegalArgumentException {<a name="line.131"></a>
<FONT color="green">132</FONT>            this(rawData.length, rawData[0].length, toBlocksLayout(rawData), false);<a name="line.132"></a>
<FONT color="green">133</FONT>        }<a name="line.133"></a>
<FONT color="green">134</FONT>    <a name="line.134"></a>
<FONT color="green">135</FONT>        /**<a name="line.135"></a>
<FONT color="green">136</FONT>         * Create a new dense matrix copying entries from block layout data.<a name="line.136"></a>
<FONT color="green">137</FONT>         * &lt;p&gt;The input array &lt;em&gt;must&lt;/em&gt; already be in blocks layout.&lt;/p&gt;<a name="line.137"></a>
<FONT color="green">138</FONT>         * @param rows  the number of rows in the new matrix<a name="line.138"></a>
<FONT color="green">139</FONT>         * @param columns  the number of columns in the new matrix<a name="line.139"></a>
<FONT color="green">140</FONT>         * @param blockData data for new matrix<a name="line.140"></a>
<FONT color="green">141</FONT>         * @param copyArray if true, the input array will be copied, otherwise<a name="line.141"></a>
<FONT color="green">142</FONT>         * it will be referenced<a name="line.142"></a>
<FONT color="green">143</FONT>         *<a name="line.143"></a>
<FONT color="green">144</FONT>         * @exception IllegalArgumentException if &lt;code&gt;blockData&lt;/code&gt; shape is<a name="line.144"></a>
<FONT color="green">145</FONT>         * inconsistent with block layout<a name="line.145"></a>
<FONT color="green">146</FONT>         * @see #createBlocksLayout(Field, int, int)<a name="line.146"></a>
<FONT color="green">147</FONT>         * @see #toBlocksLayout(FieldElement[][])<a name="line.147"></a>
<FONT color="green">148</FONT>         * @see #BlockFieldMatrix(FieldElement[][])<a name="line.148"></a>
<FONT color="green">149</FONT>         */<a name="line.149"></a>
<FONT color="green">150</FONT>        public BlockFieldMatrix(final int rows, final int columns,<a name="line.150"></a>
<FONT color="green">151</FONT>                                final T[][] blockData, final boolean copyArray)<a name="line.151"></a>
<FONT color="green">152</FONT>            throws IllegalArgumentException {<a name="line.152"></a>
<FONT color="green">153</FONT>    <a name="line.153"></a>
<FONT color="green">154</FONT>            super(extractField(blockData), rows, columns);<a name="line.154"></a>
<FONT color="green">155</FONT>            this.rows    = rows;<a name="line.155"></a>
<FONT color="green">156</FONT>            this.columns = columns;<a name="line.156"></a>
<FONT color="green">157</FONT>    <a name="line.157"></a>
<FONT color="green">158</FONT>            // number of blocks<a name="line.158"></a>
<FONT color="green">159</FONT>            blockRows    = (rows    + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.159"></a>
<FONT color="green">160</FONT>            blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.160"></a>
<FONT color="green">161</FONT>    <a name="line.161"></a>
<FONT color="green">162</FONT>            if (copyArray) {<a name="line.162"></a>
<FONT color="green">163</FONT>                // allocate storage blocks, taking care of smaller ones at right and bottom<a name="line.163"></a>
<FONT color="green">164</FONT>                blocks = buildArray(getField(), blockRows * blockColumns, -1);<a name="line.164"></a>
<FONT color="green">165</FONT>            } else {<a name="line.165"></a>
<FONT color="green">166</FONT>                // reference existing array<a name="line.166"></a>
<FONT color="green">167</FONT>                blocks = blockData;<a name="line.167"></a>
<FONT color="green">168</FONT>            }<a name="line.168"></a>
<FONT color="green">169</FONT>    <a name="line.169"></a>
<FONT color="green">170</FONT>            int index = 0;<a name="line.170"></a>
<FONT color="green">171</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.171"></a>
<FONT color="green">172</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.172"></a>
<FONT color="green">173</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock, ++index) {<a name="line.173"></a>
<FONT color="green">174</FONT>                    if (blockData[index].length != iHeight * blockWidth(jBlock)) {<a name="line.174"></a>
<FONT color="green">175</FONT>                        throw MathRuntimeException.createIllegalArgumentException(<a name="line.175"></a>
<FONT color="green">176</FONT>                                LocalizedFormats.WRONG_BLOCK_LENGTH,<a name="line.176"></a>
<FONT color="green">177</FONT>                                blockData[index].length, iHeight * blockWidth(jBlock));<a name="line.177"></a>
<FONT color="green">178</FONT>                    }<a name="line.178"></a>
<FONT color="green">179</FONT>                    if (copyArray) {<a name="line.179"></a>
<FONT color="green">180</FONT>                        blocks[index] = blockData[index].clone();<a name="line.180"></a>
<FONT color="green">181</FONT>                    }<a name="line.181"></a>
<FONT color="green">182</FONT>                }<a name="line.182"></a>
<FONT color="green">183</FONT>            }<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>        }<a name="line.185"></a>
<FONT color="green">186</FONT>    <a name="line.186"></a>
<FONT color="green">187</FONT>        /**<a name="line.187"></a>
<FONT color="green">188</FONT>         * Convert a data array from raw layout to blocks layout.<a name="line.188"></a>
<FONT color="green">189</FONT>         * &lt;p&gt;<a name="line.189"></a>
<FONT color="green">190</FONT>         * Raw layout is the straightforward layout where element at row i and<a name="line.190"></a>
<FONT color="green">191</FONT>         * column j is in array element &lt;code&gt;rawData[i][j]&lt;/code&gt;. Blocks layout<a name="line.191"></a>
<FONT color="green">192</FONT>         * is the layout used in {@link BlockFieldMatrix} instances, where the matrix<a name="line.192"></a>
<FONT color="green">193</FONT>         * is split in square blocks (except at right and bottom side where blocks may<a name="line.193"></a>
<FONT color="green">194</FONT>         * be rectangular to fit matrix size) and each block is stored in a flattened<a name="line.194"></a>
<FONT color="green">195</FONT>         * one-dimensional array.<a name="line.195"></a>
<FONT color="green">196</FONT>         * &lt;/p&gt;<a name="line.196"></a>
<FONT color="green">197</FONT>         * &lt;p&gt;<a name="line.197"></a>
<FONT color="green">198</FONT>         * This method creates an array in blocks layout from an input array in raw layout.<a name="line.198"></a>
<FONT color="green">199</FONT>         * It can be used to provide the array argument of the {@link<a name="line.199"></a>
<FONT color="green">200</FONT>         * #BlockFieldMatrix(int, int, FieldElement[][], boolean)}<a name="line.200"></a>
<FONT color="green">201</FONT>         * constructor.<a name="line.201"></a>
<FONT color="green">202</FONT>         * &lt;/p&gt;<a name="line.202"></a>
<FONT color="green">203</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.203"></a>
<FONT color="green">204</FONT>         * @param rawData data array in raw layout<a name="line.204"></a>
<FONT color="green">205</FONT>         * @return a new data array containing the same entries but in blocks layout<a name="line.205"></a>
<FONT color="green">206</FONT>         * @exception IllegalArgumentException if &lt;code&gt;rawData&lt;/code&gt; is not rectangular<a name="line.206"></a>
<FONT color="green">207</FONT>         *  (not all rows have the same length)<a name="line.207"></a>
<FONT color="green">208</FONT>         * @see #createBlocksLayout(Field, int, int)<a name="line.208"></a>
<FONT color="green">209</FONT>         * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.209"></a>
<FONT color="green">210</FONT>         */<a name="line.210"></a>
<FONT color="green">211</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; T[][] toBlocksLayout(final T[][] rawData)<a name="line.211"></a>
<FONT color="green">212</FONT>            throws IllegalArgumentException {<a name="line.212"></a>
<FONT color="green">213</FONT>    <a name="line.213"></a>
<FONT color="green">214</FONT>            final int rows         = rawData.length;<a name="line.214"></a>
<FONT color="green">215</FONT>            final int columns      = rawData[0].length;<a name="line.215"></a>
<FONT color="green">216</FONT>            final int blockRows    = (rows    + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.216"></a>
<FONT color="green">217</FONT>            final int blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.217"></a>
<FONT color="green">218</FONT>    <a name="line.218"></a>
<FONT color="green">219</FONT>            // safety checks<a name="line.219"></a>
<FONT color="green">220</FONT>            for (int i = 0; i &lt; rawData.length; ++i) {<a name="line.220"></a>
<FONT color="green">221</FONT>                final int length = rawData[i].length;<a name="line.221"></a>
<FONT color="green">222</FONT>                if (length != columns) {<a name="line.222"></a>
<FONT color="green">223</FONT>                    throw MathRuntimeException.createIllegalArgumentException(<a name="line.223"></a>
<FONT color="green">224</FONT>                            LocalizedFormats.DIFFERENT_ROWS_LENGTHS,<a name="line.224"></a>
<FONT color="green">225</FONT>                            columns, length);<a name="line.225"></a>
<FONT color="green">226</FONT>                }<a name="line.226"></a>
<FONT color="green">227</FONT>            }<a name="line.227"></a>
<FONT color="green">228</FONT>    <a name="line.228"></a>
<FONT color="green">229</FONT>            // convert array<a name="line.229"></a>
<FONT color="green">230</FONT>            final Field&lt;T&gt; field = extractField(rawData);<a name="line.230"></a>
<FONT color="green">231</FONT>            final T[][] blocks = buildArray(field, blockRows * blockColumns, -1);<a name="line.231"></a>
<FONT color="green">232</FONT>            int blockIndex = 0;<a name="line.232"></a>
<FONT color="green">233</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.233"></a>
<FONT color="green">234</FONT>                final int pStart  = iBlock * BLOCK_SIZE;<a name="line.234"></a>
<FONT color="green">235</FONT>                final int pEnd    = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.235"></a>
<FONT color="green">236</FONT>                final int iHeight = pEnd - pStart;<a name="line.236"></a>
<FONT color="green">237</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.237"></a>
<FONT color="green">238</FONT>                    final int qStart = jBlock * BLOCK_SIZE;<a name="line.238"></a>
<FONT color="green">239</FONT>                    final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.239"></a>
<FONT color="green">240</FONT>                    final int jWidth = qEnd - qStart;<a name="line.240"></a>
<FONT color="green">241</FONT>    <a name="line.241"></a>
<FONT color="green">242</FONT>                    // allocate new block<a name="line.242"></a>
<FONT color="green">243</FONT>                    final T[] block = buildArray(field, iHeight * jWidth);<a name="line.243"></a>
<FONT color="green">244</FONT>                    blocks[blockIndex] = block;<a name="line.244"></a>
<FONT color="green">245</FONT>    <a name="line.245"></a>
<FONT color="green">246</FONT>                    // copy data<a name="line.246"></a>
<FONT color="green">247</FONT>                    int index = 0;<a name="line.247"></a>
<FONT color="green">248</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.248"></a>
<FONT color="green">249</FONT>                        System.arraycopy(rawData[p], qStart, block, index, jWidth);<a name="line.249"></a>
<FONT color="green">250</FONT>                        index += jWidth;<a name="line.250"></a>
<FONT color="green">251</FONT>                    }<a name="line.251"></a>
<FONT color="green">252</FONT>    <a name="line.252"></a>
<FONT color="green">253</FONT>                    ++blockIndex;<a name="line.253"></a>
<FONT color="green">254</FONT>    <a name="line.254"></a>
<FONT color="green">255</FONT>                }<a name="line.255"></a>
<FONT color="green">256</FONT>            }<a name="line.256"></a>
<FONT color="green">257</FONT>    <a name="line.257"></a>
<FONT color="green">258</FONT>            return blocks;<a name="line.258"></a>
<FONT color="green">259</FONT>    <a name="line.259"></a>
<FONT color="green">260</FONT>        }<a name="line.260"></a>
<FONT color="green">261</FONT>    <a name="line.261"></a>
<FONT color="green">262</FONT>        /**<a name="line.262"></a>
<FONT color="green">263</FONT>         * Create a data array in blocks layout.<a name="line.263"></a>
<FONT color="green">264</FONT>         * &lt;p&gt;<a name="line.264"></a>
<FONT color="green">265</FONT>         * This method can be used to create the array argument of the {@link<a name="line.265"></a>
<FONT color="green">266</FONT>         * #BlockFieldMatrix(int, int, FieldElement[][], boolean)}<a name="line.266"></a>
<FONT color="green">267</FONT>         * constructor.<a name="line.267"></a>
<FONT color="green">268</FONT>         * &lt;/p&gt;<a name="line.268"></a>
<FONT color="green">269</FONT>         * @param &lt;T&gt; the type of the field elements<a name="line.269"></a>
<FONT color="green">270</FONT>         * @param field field to which the elements belong<a name="line.270"></a>
<FONT color="green">271</FONT>         * @param rows  the number of rows in the new matrix<a name="line.271"></a>
<FONT color="green">272</FONT>         * @param columns  the number of columns in the new matrix<a name="line.272"></a>
<FONT color="green">273</FONT>         * @return a new data array in blocks layout<a name="line.273"></a>
<FONT color="green">274</FONT>         * @see #toBlocksLayout(FieldElement[][])<a name="line.274"></a>
<FONT color="green">275</FONT>         * @see #BlockFieldMatrix(int, int, FieldElement[][], boolean)<a name="line.275"></a>
<FONT color="green">276</FONT>         */<a name="line.276"></a>
<FONT color="green">277</FONT>        public static &lt;T extends FieldElement&lt;T&gt;&gt; T[][] createBlocksLayout(final Field&lt;T&gt; field,<a name="line.277"></a>
<FONT color="green">278</FONT>                                                                           final int rows, final int columns) {<a name="line.278"></a>
<FONT color="green">279</FONT>    <a name="line.279"></a>
<FONT color="green">280</FONT>            final int blockRows    = (rows    + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.280"></a>
<FONT color="green">281</FONT>            final int blockColumns = (columns + BLOCK_SIZE - 1) / BLOCK_SIZE;<a name="line.281"></a>
<FONT color="green">282</FONT>    <a name="line.282"></a>
<FONT color="green">283</FONT>            final T[][] blocks = buildArray(field, blockRows * blockColumns, -1);<a name="line.283"></a>
<FONT color="green">284</FONT>            int blockIndex = 0;<a name="line.284"></a>
<FONT color="green">285</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.285"></a>
<FONT color="green">286</FONT>                final int pStart  = iBlock * BLOCK_SIZE;<a name="line.286"></a>
<FONT color="green">287</FONT>                final int pEnd    = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.287"></a>
<FONT color="green">288</FONT>                final int iHeight = pEnd - pStart;<a name="line.288"></a>
<FONT color="green">289</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.289"></a>
<FONT color="green">290</FONT>                    final int qStart = jBlock * BLOCK_SIZE;<a name="line.290"></a>
<FONT color="green">291</FONT>                    final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.291"></a>
<FONT color="green">292</FONT>                    final int jWidth = qEnd - qStart;<a name="line.292"></a>
<FONT color="green">293</FONT>                    blocks[blockIndex] = buildArray(field, iHeight * jWidth);<a name="line.293"></a>
<FONT color="green">294</FONT>                    ++blockIndex;<a name="line.294"></a>
<FONT color="green">295</FONT>                }<a name="line.295"></a>
<FONT color="green">296</FONT>            }<a name="line.296"></a>
<FONT color="green">297</FONT>    <a name="line.297"></a>
<FONT color="green">298</FONT>            return blocks;<a name="line.298"></a>
<FONT color="green">299</FONT>    <a name="line.299"></a>
<FONT color="green">300</FONT>        }<a name="line.300"></a>
<FONT color="green">301</FONT>    <a name="line.301"></a>
<FONT color="green">302</FONT>        /** {@inheritDoc} */<a name="line.302"></a>
<FONT color="green">303</FONT>        @Override<a name="line.303"></a>
<FONT color="green">304</FONT>        public FieldMatrix&lt;T&gt; createMatrix(final int rowDimension, final int columnDimension)<a name="line.304"></a>
<FONT color="green">305</FONT>            throws IllegalArgumentException {<a name="line.305"></a>
<FONT color="green">306</FONT>            return new BlockFieldMatrix&lt;T&gt;(getField(), rowDimension, columnDimension);<a name="line.306"></a>
<FONT color="green">307</FONT>        }<a name="line.307"></a>
<FONT color="green">308</FONT>    <a name="line.308"></a>
<FONT color="green">309</FONT>        /** {@inheritDoc} */<a name="line.309"></a>
<FONT color="green">310</FONT>        @Override<a name="line.310"></a>
<FONT color="green">311</FONT>        public FieldMatrix&lt;T&gt; copy() {<a name="line.311"></a>
<FONT color="green">312</FONT>    <a name="line.312"></a>
<FONT color="green">313</FONT>            // create an empty matrix<a name="line.313"></a>
<FONT color="green">314</FONT>            BlockFieldMatrix&lt;T&gt; copied = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.314"></a>
<FONT color="green">315</FONT>    <a name="line.315"></a>
<FONT color="green">316</FONT>            // copy the blocks<a name="line.316"></a>
<FONT color="green">317</FONT>            for (int i = 0; i &lt; blocks.length; ++i) {<a name="line.317"></a>
<FONT color="green">318</FONT>                System.arraycopy(blocks[i], 0, copied.blocks[i], 0, blocks[i].length);<a name="line.318"></a>
<FONT color="green">319</FONT>            }<a name="line.319"></a>
<FONT color="green">320</FONT>    <a name="line.320"></a>
<FONT color="green">321</FONT>            return copied;<a name="line.321"></a>
<FONT color="green">322</FONT>    <a name="line.322"></a>
<FONT color="green">323</FONT>        }<a name="line.323"></a>
<FONT color="green">324</FONT>    <a name="line.324"></a>
<FONT color="green">325</FONT>        /** {@inheritDoc} */<a name="line.325"></a>
<FONT color="green">326</FONT>        @Override<a name="line.326"></a>
<FONT color="green">327</FONT>        public FieldMatrix&lt;T&gt; add(final FieldMatrix&lt;T&gt; m)<a name="line.327"></a>
<FONT color="green">328</FONT>            throws IllegalArgumentException {<a name="line.328"></a>
<FONT color="green">329</FONT>            try {<a name="line.329"></a>
<FONT color="green">330</FONT>                return add((BlockFieldMatrix&lt;T&gt;) m);<a name="line.330"></a>
<FONT color="green">331</FONT>            } catch (ClassCastException cce) {<a name="line.331"></a>
<FONT color="green">332</FONT>    <a name="line.332"></a>
<FONT color="green">333</FONT>                // safety check<a name="line.333"></a>
<FONT color="green">334</FONT>                checkAdditionCompatible(m);<a name="line.334"></a>
<FONT color="green">335</FONT>    <a name="line.335"></a>
<FONT color="green">336</FONT>                final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.336"></a>
<FONT color="green">337</FONT>    <a name="line.337"></a>
<FONT color="green">338</FONT>                // perform addition block-wise, to ensure good cache behavior<a name="line.338"></a>
<FONT color="green">339</FONT>                int blockIndex = 0;<a name="line.339"></a>
<FONT color="green">340</FONT>                for (int iBlock = 0; iBlock &lt; out.blockRows; ++iBlock) {<a name="line.340"></a>
<FONT color="green">341</FONT>                    for (int jBlock = 0; jBlock &lt; out.blockColumns; ++jBlock) {<a name="line.341"></a>
<FONT color="green">342</FONT>    <a name="line.342"></a>
<FONT color="green">343</FONT>                        // perform addition on the current block<a name="line.343"></a>
<FONT color="green">344</FONT>                        final T[] outBlock = out.blocks[blockIndex];<a name="line.344"></a>
<FONT color="green">345</FONT>                        final T[] tBlock   = blocks[blockIndex];<a name="line.345"></a>
<FONT color="green">346</FONT>                        final int      pStart   = iBlock * BLOCK_SIZE;<a name="line.346"></a>
<FONT color="green">347</FONT>                        final int      pEnd     = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.347"></a>
<FONT color="green">348</FONT>                        final int      qStart   = jBlock * BLOCK_SIZE;<a name="line.348"></a>
<FONT color="green">349</FONT>                        final int      qEnd     = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.349"></a>
<FONT color="green">350</FONT>                        int k = 0;<a name="line.350"></a>
<FONT color="green">351</FONT>                        for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.351"></a>
<FONT color="green">352</FONT>                            for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.352"></a>
<FONT color="green">353</FONT>                                outBlock[k] = tBlock[k].add(m.getEntry(p, q));<a name="line.353"></a>
<FONT color="green">354</FONT>                                ++k;<a name="line.354"></a>
<FONT color="green">355</FONT>                            }<a name="line.355"></a>
<FONT color="green">356</FONT>                        }<a name="line.356"></a>
<FONT color="green">357</FONT>    <a name="line.357"></a>
<FONT color="green">358</FONT>                        // go to next block<a name="line.358"></a>
<FONT color="green">359</FONT>                        ++blockIndex;<a name="line.359"></a>
<FONT color="green">360</FONT>    <a name="line.360"></a>
<FONT color="green">361</FONT>                    }<a name="line.361"></a>
<FONT color="green">362</FONT>                }<a name="line.362"></a>
<FONT color="green">363</FONT>    <a name="line.363"></a>
<FONT color="green">364</FONT>                return out;<a name="line.364"></a>
<FONT color="green">365</FONT>    <a name="line.365"></a>
<FONT color="green">366</FONT>            }<a name="line.366"></a>
<FONT color="green">367</FONT>        }<a name="line.367"></a>
<FONT color="green">368</FONT>    <a name="line.368"></a>
<FONT color="green">369</FONT>        /**<a name="line.369"></a>
<FONT color="green">370</FONT>         * Compute the sum of this and &lt;code&gt;m&lt;/code&gt;.<a name="line.370"></a>
<FONT color="green">371</FONT>         *<a name="line.371"></a>
<FONT color="green">372</FONT>         * @param m    matrix to be added<a name="line.372"></a>
<FONT color="green">373</FONT>         * @return     this + m<a name="line.373"></a>
<FONT color="green">374</FONT>         * @throws  IllegalArgumentException if m is not the same size as this<a name="line.374"></a>
<FONT color="green">375</FONT>         */<a name="line.375"></a>
<FONT color="green">376</FONT>        public BlockFieldMatrix&lt;T&gt; add(final BlockFieldMatrix&lt;T&gt; m)<a name="line.376"></a>
<FONT color="green">377</FONT>            throws IllegalArgumentException {<a name="line.377"></a>
<FONT color="green">378</FONT>    <a name="line.378"></a>
<FONT color="green">379</FONT>            // safety check<a name="line.379"></a>
<FONT color="green">380</FONT>            checkAdditionCompatible(m);<a name="line.380"></a>
<FONT color="green">381</FONT>    <a name="line.381"></a>
<FONT color="green">382</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.382"></a>
<FONT color="green">383</FONT>    <a name="line.383"></a>
<FONT color="green">384</FONT>            // perform addition block-wise, to ensure good cache behavior<a name="line.384"></a>
<FONT color="green">385</FONT>            for (int blockIndex = 0; blockIndex &lt; out.blocks.length; ++blockIndex) {<a name="line.385"></a>
<FONT color="green">386</FONT>                final T[] outBlock = out.blocks[blockIndex];<a name="line.386"></a>
<FONT color="green">387</FONT>                final T[] tBlock   = blocks[blockIndex];<a name="line.387"></a>
<FONT color="green">388</FONT>                final T[] mBlock   = m.blocks[blockIndex];<a name="line.388"></a>
<FONT color="green">389</FONT>                for (int k = 0; k &lt; outBlock.length; ++k) {<a name="line.389"></a>
<FONT color="green">390</FONT>                    outBlock[k] = tBlock[k].add(mBlock[k]);<a name="line.390"></a>
<FONT color="green">391</FONT>                }<a name="line.391"></a>
<FONT color="green">392</FONT>            }<a name="line.392"></a>
<FONT color="green">393</FONT>    <a name="line.393"></a>
<FONT color="green">394</FONT>            return out;<a name="line.394"></a>
<FONT color="green">395</FONT>    <a name="line.395"></a>
<FONT color="green">396</FONT>        }<a name="line.396"></a>
<FONT color="green">397</FONT>    <a name="line.397"></a>
<FONT color="green">398</FONT>        /** {@inheritDoc} */<a name="line.398"></a>
<FONT color="green">399</FONT>        @Override<a name="line.399"></a>
<FONT color="green">400</FONT>        public FieldMatrix&lt;T&gt; subtract(final FieldMatrix&lt;T&gt; m)<a name="line.400"></a>
<FONT color="green">401</FONT>            throws IllegalArgumentException {<a name="line.401"></a>
<FONT color="green">402</FONT>            try {<a name="line.402"></a>
<FONT color="green">403</FONT>                return subtract((BlockFieldMatrix&lt;T&gt;) m);<a name="line.403"></a>
<FONT color="green">404</FONT>            } catch (ClassCastException cce) {<a name="line.404"></a>
<FONT color="green">405</FONT>    <a name="line.405"></a>
<FONT color="green">406</FONT>                // safety check<a name="line.406"></a>
<FONT color="green">407</FONT>                checkSubtractionCompatible(m);<a name="line.407"></a>
<FONT color="green">408</FONT>    <a name="line.408"></a>
<FONT color="green">409</FONT>                final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.409"></a>
<FONT color="green">410</FONT>    <a name="line.410"></a>
<FONT color="green">411</FONT>                // perform subtraction block-wise, to ensure good cache behavior<a name="line.411"></a>
<FONT color="green">412</FONT>                int blockIndex = 0;<a name="line.412"></a>
<FONT color="green">413</FONT>                for (int iBlock = 0; iBlock &lt; out.blockRows; ++iBlock) {<a name="line.413"></a>
<FONT color="green">414</FONT>                    for (int jBlock = 0; jBlock &lt; out.blockColumns; ++jBlock) {<a name="line.414"></a>
<FONT color="green">415</FONT>    <a name="line.415"></a>
<FONT color="green">416</FONT>                        // perform subtraction on the current block<a name="line.416"></a>
<FONT color="green">417</FONT>                        final T[] outBlock = out.blocks[blockIndex];<a name="line.417"></a>
<FONT color="green">418</FONT>                        final T[] tBlock   = blocks[blockIndex];<a name="line.418"></a>
<FONT color="green">419</FONT>                        final int      pStart   = iBlock * BLOCK_SIZE;<a name="line.419"></a>
<FONT color="green">420</FONT>                        final int      pEnd     = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.420"></a>
<FONT color="green">421</FONT>                        final int      qStart   = jBlock * BLOCK_SIZE;<a name="line.421"></a>
<FONT color="green">422</FONT>                        final int      qEnd     = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.422"></a>
<FONT color="green">423</FONT>                        int k = 0;<a name="line.423"></a>
<FONT color="green">424</FONT>                        for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.424"></a>
<FONT color="green">425</FONT>                            for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.425"></a>
<FONT color="green">426</FONT>                                outBlock[k] = tBlock[k].subtract(m.getEntry(p, q));<a name="line.426"></a>
<FONT color="green">427</FONT>                                ++k;<a name="line.427"></a>
<FONT color="green">428</FONT>                            }<a name="line.428"></a>
<FONT color="green">429</FONT>                        }<a name="line.429"></a>
<FONT color="green">430</FONT>    <a name="line.430"></a>
<FONT color="green">431</FONT>                        // go to next block<a name="line.431"></a>
<FONT color="green">432</FONT>                        ++blockIndex;<a name="line.432"></a>
<FONT color="green">433</FONT>    <a name="line.433"></a>
<FONT color="green">434</FONT>                    }<a name="line.434"></a>
<FONT color="green">435</FONT>                }<a name="line.435"></a>
<FONT color="green">436</FONT>    <a name="line.436"></a>
<FONT color="green">437</FONT>                return out;<a name="line.437"></a>
<FONT color="green">438</FONT>    <a name="line.438"></a>
<FONT color="green">439</FONT>            }<a name="line.439"></a>
<FONT color="green">440</FONT>        }<a name="line.440"></a>
<FONT color="green">441</FONT>    <a name="line.441"></a>
<FONT color="green">442</FONT>        /**<a name="line.442"></a>
<FONT color="green">443</FONT>         * Compute this minus &lt;code&gt;m&lt;/code&gt;.<a name="line.443"></a>
<FONT color="green">444</FONT>         *<a name="line.444"></a>
<FONT color="green">445</FONT>         * @param m    matrix to be subtracted<a name="line.445"></a>
<FONT color="green">446</FONT>         * @return     this - m<a name="line.446"></a>
<FONT color="green">447</FONT>         * @throws  IllegalArgumentException if m is not the same size as this<a name="line.447"></a>
<FONT color="green">448</FONT>         */<a name="line.448"></a>
<FONT color="green">449</FONT>        public BlockFieldMatrix&lt;T&gt; subtract(final BlockFieldMatrix&lt;T&gt; m)<a name="line.449"></a>
<FONT color="green">450</FONT>            throws IllegalArgumentException {<a name="line.450"></a>
<FONT color="green">451</FONT>    <a name="line.451"></a>
<FONT color="green">452</FONT>            // safety check<a name="line.452"></a>
<FONT color="green">453</FONT>            checkSubtractionCompatible(m);<a name="line.453"></a>
<FONT color="green">454</FONT>    <a name="line.454"></a>
<FONT color="green">455</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.455"></a>
<FONT color="green">456</FONT>    <a name="line.456"></a>
<FONT color="green">457</FONT>            // perform subtraction block-wise, to ensure good cache behavior<a name="line.457"></a>
<FONT color="green">458</FONT>            for (int blockIndex = 0; blockIndex &lt; out.blocks.length; ++blockIndex) {<a name="line.458"></a>
<FONT color="green">459</FONT>                final T[] outBlock = out.blocks[blockIndex];<a name="line.459"></a>
<FONT color="green">460</FONT>                final T[] tBlock   = blocks[blockIndex];<a name="line.460"></a>
<FONT color="green">461</FONT>                final T[] mBlock   = m.blocks[blockIndex];<a name="line.461"></a>
<FONT color="green">462</FONT>                for (int k = 0; k &lt; outBlock.length; ++k) {<a name="line.462"></a>
<FONT color="green">463</FONT>                    outBlock[k] = tBlock[k].subtract(mBlock[k]);<a name="line.463"></a>
<FONT color="green">464</FONT>                }<a name="line.464"></a>
<FONT color="green">465</FONT>            }<a name="line.465"></a>
<FONT color="green">466</FONT>    <a name="line.466"></a>
<FONT color="green">467</FONT>            return out;<a name="line.467"></a>
<FONT color="green">468</FONT>    <a name="line.468"></a>
<FONT color="green">469</FONT>        }<a name="line.469"></a>
<FONT color="green">470</FONT>    <a name="line.470"></a>
<FONT color="green">471</FONT>        /** {@inheritDoc} */<a name="line.471"></a>
<FONT color="green">472</FONT>        @Override<a name="line.472"></a>
<FONT color="green">473</FONT>        public FieldMatrix&lt;T&gt; scalarAdd(final T d)<a name="line.473"></a>
<FONT color="green">474</FONT>            throws IllegalArgumentException {<a name="line.474"></a>
<FONT color="green">475</FONT>    <a name="line.475"></a>
<FONT color="green">476</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.476"></a>
<FONT color="green">477</FONT>    <a name="line.477"></a>
<FONT color="green">478</FONT>            // perform subtraction block-wise, to ensure good cache behavior<a name="line.478"></a>
<FONT color="green">479</FONT>            for (int blockIndex = 0; blockIndex &lt; out.blocks.length; ++blockIndex) {<a name="line.479"></a>
<FONT color="green">480</FONT>                final T[] outBlock = out.blocks[blockIndex];<a name="line.480"></a>
<FONT color="green">481</FONT>                final T[] tBlock   = blocks[blockIndex];<a name="line.481"></a>
<FONT color="green">482</FONT>                for (int k = 0; k &lt; outBlock.length; ++k) {<a name="line.482"></a>
<FONT color="green">483</FONT>                    outBlock[k] = tBlock[k].add(d);<a name="line.483"></a>
<FONT color="green">484</FONT>                }<a name="line.484"></a>
<FONT color="green">485</FONT>            }<a name="line.485"></a>
<FONT color="green">486</FONT>    <a name="line.486"></a>
<FONT color="green">487</FONT>            return out;<a name="line.487"></a>
<FONT color="green">488</FONT>    <a name="line.488"></a>
<FONT color="green">489</FONT>        }<a name="line.489"></a>
<FONT color="green">490</FONT>    <a name="line.490"></a>
<FONT color="green">491</FONT>        /** {@inheritDoc} */<a name="line.491"></a>
<FONT color="green">492</FONT>        @Override<a name="line.492"></a>
<FONT color="green">493</FONT>        public FieldMatrix&lt;T&gt; scalarMultiply(final T d)<a name="line.493"></a>
<FONT color="green">494</FONT>            throws IllegalArgumentException {<a name="line.494"></a>
<FONT color="green">495</FONT>    <a name="line.495"></a>
<FONT color="green">496</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, columns);<a name="line.496"></a>
<FONT color="green">497</FONT>    <a name="line.497"></a>
<FONT color="green">498</FONT>            // perform subtraction block-wise, to ensure good cache behavior<a name="line.498"></a>
<FONT color="green">499</FONT>            for (int blockIndex = 0; blockIndex &lt; out.blocks.length; ++blockIndex) {<a name="line.499"></a>
<FONT color="green">500</FONT>                final T[] outBlock = out.blocks[blockIndex];<a name="line.500"></a>
<FONT color="green">501</FONT>                final T[] tBlock   = blocks[blockIndex];<a name="line.501"></a>
<FONT color="green">502</FONT>                for (int k = 0; k &lt; outBlock.length; ++k) {<a name="line.502"></a>
<FONT color="green">503</FONT>                    outBlock[k] = tBlock[k].multiply(d);<a name="line.503"></a>
<FONT color="green">504</FONT>                }<a name="line.504"></a>
<FONT color="green">505</FONT>            }<a name="line.505"></a>
<FONT color="green">506</FONT>    <a name="line.506"></a>
<FONT color="green">507</FONT>            return out;<a name="line.507"></a>
<FONT color="green">508</FONT>    <a name="line.508"></a>
<FONT color="green">509</FONT>        }<a name="line.509"></a>
<FONT color="green">510</FONT>    <a name="line.510"></a>
<FONT color="green">511</FONT>        /** {@inheritDoc} */<a name="line.511"></a>
<FONT color="green">512</FONT>        @Override<a name="line.512"></a>
<FONT color="green">513</FONT>        public FieldMatrix&lt;T&gt; multiply(final FieldMatrix&lt;T&gt; m)<a name="line.513"></a>
<FONT color="green">514</FONT>            throws IllegalArgumentException {<a name="line.514"></a>
<FONT color="green">515</FONT>            try {<a name="line.515"></a>
<FONT color="green">516</FONT>                return multiply((BlockFieldMatrix&lt;T&gt;) m);<a name="line.516"></a>
<FONT color="green">517</FONT>            } catch (ClassCastException cce) {<a name="line.517"></a>
<FONT color="green">518</FONT>    <a name="line.518"></a>
<FONT color="green">519</FONT>                // safety check<a name="line.519"></a>
<FONT color="green">520</FONT>                checkMultiplicationCompatible(m);<a name="line.520"></a>
<FONT color="green">521</FONT>    <a name="line.521"></a>
<FONT color="green">522</FONT>                final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, m.getColumnDimension());<a name="line.522"></a>
<FONT color="green">523</FONT>                final T zero = getField().getZero();<a name="line.523"></a>
<FONT color="green">524</FONT>    <a name="line.524"></a>
<FONT color="green">525</FONT>                // perform multiplication block-wise, to ensure good cache behavior<a name="line.525"></a>
<FONT color="green">526</FONT>                int blockIndex = 0;<a name="line.526"></a>
<FONT color="green">527</FONT>                for (int iBlock = 0; iBlock &lt; out.blockRows; ++iBlock) {<a name="line.527"></a>
<FONT color="green">528</FONT>    <a name="line.528"></a>
<FONT color="green">529</FONT>                    final int pStart = iBlock * BLOCK_SIZE;<a name="line.529"></a>
<FONT color="green">530</FONT>                    final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.530"></a>
<FONT color="green">531</FONT>    <a name="line.531"></a>
<FONT color="green">532</FONT>                    for (int jBlock = 0; jBlock &lt; out.blockColumns; ++jBlock) {<a name="line.532"></a>
<FONT color="green">533</FONT>    <a name="line.533"></a>
<FONT color="green">534</FONT>                        final int qStart = jBlock * BLOCK_SIZE;<a name="line.534"></a>
<FONT color="green">535</FONT>                        final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, m.getColumnDimension());<a name="line.535"></a>
<FONT color="green">536</FONT>    <a name="line.536"></a>
<FONT color="green">537</FONT>                        // select current block<a name="line.537"></a>
<FONT color="green">538</FONT>                        final T[] outBlock = out.blocks[blockIndex];<a name="line.538"></a>
<FONT color="green">539</FONT>    <a name="line.539"></a>
<FONT color="green">540</FONT>                        // perform multiplication on current block<a name="line.540"></a>
<FONT color="green">541</FONT>                        for (int kBlock = 0; kBlock &lt; blockColumns; ++kBlock) {<a name="line.541"></a>
<FONT color="green">542</FONT>                            final int kWidth      = blockWidth(kBlock);<a name="line.542"></a>
<FONT color="green">543</FONT>                            final T[] tBlock = blocks[iBlock * blockColumns + kBlock];<a name="line.543"></a>
<FONT color="green">544</FONT>                            final int rStart      = kBlock * BLOCK_SIZE;<a name="line.544"></a>
<FONT color="green">545</FONT>                            int k = 0;<a name="line.545"></a>
<FONT color="green">546</FONT>                            for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.546"></a>
<FONT color="green">547</FONT>                                final int lStart = (p - pStart) * kWidth;<a name="line.547"></a>
<FONT color="green">548</FONT>                                final int lEnd   = lStart + kWidth;<a name="line.548"></a>
<FONT color="green">549</FONT>                                for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.549"></a>
<FONT color="green">550</FONT>                                    T sum = zero;<a name="line.550"></a>
<FONT color="green">551</FONT>                                    int r = rStart;<a name="line.551"></a>
<FONT color="green">552</FONT>                                    for (int l = lStart; l &lt; lEnd; ++l) {<a name="line.552"></a>
<FONT color="green">553</FONT>                                        sum = sum.add(tBlock[l].multiply(m.getEntry(r, q)));<a name="line.553"></a>
<FONT color="green">554</FONT>                                        ++r;<a name="line.554"></a>
<FONT color="green">555</FONT>                                    }<a name="line.555"></a>
<FONT color="green">556</FONT>                                    outBlock[k] = outBlock[k].add(sum);<a name="line.556"></a>
<FONT color="green">557</FONT>                                    ++k;<a name="line.557"></a>
<FONT color="green">558</FONT>                                }<a name="line.558"></a>
<FONT color="green">559</FONT>                            }<a name="line.559"></a>
<FONT color="green">560</FONT>                        }<a name="line.560"></a>
<FONT color="green">561</FONT>    <a name="line.561"></a>
<FONT color="green">562</FONT>                        // go to next block<a name="line.562"></a>
<FONT color="green">563</FONT>                        ++blockIndex;<a name="line.563"></a>
<FONT color="green">564</FONT>    <a name="line.564"></a>
<FONT color="green">565</FONT>                    }<a name="line.565"></a>
<FONT color="green">566</FONT>                }<a name="line.566"></a>
<FONT color="green">567</FONT>    <a name="line.567"></a>
<FONT color="green">568</FONT>                return out;<a name="line.568"></a>
<FONT color="green">569</FONT>    <a name="line.569"></a>
<FONT color="green">570</FONT>            }<a name="line.570"></a>
<FONT color="green">571</FONT>        }<a name="line.571"></a>
<FONT color="green">572</FONT>    <a name="line.572"></a>
<FONT color="green">573</FONT>        /**<a name="line.573"></a>
<FONT color="green">574</FONT>         * Returns the result of postmultiplying this by m.<a name="line.574"></a>
<FONT color="green">575</FONT>         *<a name="line.575"></a>
<FONT color="green">576</FONT>         * @param m    matrix to postmultiply by<a name="line.576"></a>
<FONT color="green">577</FONT>         * @return     this * m<a name="line.577"></a>
<FONT color="green">578</FONT>         * @throws     IllegalArgumentException<a name="line.578"></a>
<FONT color="green">579</FONT>         *             if columnDimension(this) != rowDimension(m)<a name="line.579"></a>
<FONT color="green">580</FONT>         */<a name="line.580"></a>
<FONT color="green">581</FONT>        public BlockFieldMatrix&lt;T&gt; multiply(BlockFieldMatrix&lt;T&gt; m) throws IllegalArgumentException {<a name="line.581"></a>
<FONT color="green">582</FONT>    <a name="line.582"></a>
<FONT color="green">583</FONT>            // safety check<a name="line.583"></a>
<FONT color="green">584</FONT>            checkMultiplicationCompatible(m);<a name="line.584"></a>
<FONT color="green">585</FONT>    <a name="line.585"></a>
<FONT color="green">586</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, m.columns);<a name="line.586"></a>
<FONT color="green">587</FONT>            final T zero = getField().getZero();<a name="line.587"></a>
<FONT color="green">588</FONT>    <a name="line.588"></a>
<FONT color="green">589</FONT>            // perform multiplication block-wise, to ensure good cache behavior<a name="line.589"></a>
<FONT color="green">590</FONT>            int blockIndex = 0;<a name="line.590"></a>
<FONT color="green">591</FONT>            for (int iBlock = 0; iBlock &lt; out.blockRows; ++iBlock) {<a name="line.591"></a>
<FONT color="green">592</FONT>    <a name="line.592"></a>
<FONT color="green">593</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.593"></a>
<FONT color="green">594</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.594"></a>
<FONT color="green">595</FONT>    <a name="line.595"></a>
<FONT color="green">596</FONT>                for (int jBlock = 0; jBlock &lt; out.blockColumns; ++jBlock) {<a name="line.596"></a>
<FONT color="green">597</FONT>                    final int jWidth = out.blockWidth(jBlock);<a name="line.597"></a>
<FONT color="green">598</FONT>                    final int jWidth2 = jWidth  + jWidth;<a name="line.598"></a>
<FONT color="green">599</FONT>                    final int jWidth3 = jWidth2 + jWidth;<a name="line.599"></a>
<FONT color="green">600</FONT>                    final int jWidth4 = jWidth3 + jWidth;<a name="line.600"></a>
<FONT color="green">601</FONT>    <a name="line.601"></a>
<FONT color="green">602</FONT>                    // select current block<a name="line.602"></a>
<FONT color="green">603</FONT>                    final T[] outBlock = out.blocks[blockIndex];<a name="line.603"></a>
<FONT color="green">604</FONT>    <a name="line.604"></a>
<FONT color="green">605</FONT>                    // perform multiplication on current block<a name="line.605"></a>
<FONT color="green">606</FONT>                    for (int kBlock = 0; kBlock &lt; blockColumns; ++kBlock) {<a name="line.606"></a>
<FONT color="green">607</FONT>                        final int kWidth = blockWidth(kBlock);<a name="line.607"></a>
<FONT color="green">608</FONT>                        final T[] tBlock = blocks[iBlock * blockColumns + kBlock];<a name="line.608"></a>
<FONT color="green">609</FONT>                        final T[] mBlock = m.blocks[kBlock * m.blockColumns + jBlock];<a name="line.609"></a>
<FONT color="green">610</FONT>                        int k = 0;<a name="line.610"></a>
<FONT color="green">611</FONT>                        for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.611"></a>
<FONT color="green">612</FONT>                            final int lStart = (p - pStart) * kWidth;<a name="line.612"></a>
<FONT color="green">613</FONT>                            final int lEnd   = lStart + kWidth;<a name="line.613"></a>
<FONT color="green">614</FONT>                            for (int nStart = 0; nStart &lt; jWidth; ++nStart) {<a name="line.614"></a>
<FONT color="green">615</FONT>                                T sum = zero;<a name="line.615"></a>
<FONT color="green">616</FONT>                                int l = lStart;<a name="line.616"></a>
<FONT color="green">617</FONT>                                int n = nStart;<a name="line.617"></a>
<FONT color="green">618</FONT>                                while (l &lt; lEnd - 3) {<a name="line.618"></a>
<FONT color="green">619</FONT>                                    sum = sum.<a name="line.619"></a>
<FONT color="green">620</FONT>                                          add(tBlock[l].multiply(mBlock[n])).<a name="line.620"></a>
<FONT color="green">621</FONT>                                          add(tBlock[l + 1].multiply(mBlock[n + jWidth])).<a name="line.621"></a>
<FONT color="green">622</FONT>                                          add(tBlock[l + 2].multiply(mBlock[n + jWidth2])).<a name="line.622"></a>
<FONT color="green">623</FONT>                                          add(tBlock[l + 3].multiply(mBlock[n + jWidth3]));<a name="line.623"></a>
<FONT color="green">624</FONT>                                    l += 4;<a name="line.624"></a>
<FONT color="green">625</FONT>                                    n += jWidth4;<a name="line.625"></a>
<FONT color="green">626</FONT>                                }<a name="line.626"></a>
<FONT color="green">627</FONT>                                while (l &lt; lEnd) {<a name="line.627"></a>
<FONT color="green">628</FONT>                                    sum = sum.add(tBlock[l++].multiply(mBlock[n]));<a name="line.628"></a>
<FONT color="green">629</FONT>                                    n += jWidth;<a name="line.629"></a>
<FONT color="green">630</FONT>                                }<a name="line.630"></a>
<FONT color="green">631</FONT>                                outBlock[k] = outBlock[k].add(sum);<a name="line.631"></a>
<FONT color="green">632</FONT>                                ++k;<a name="line.632"></a>
<FONT color="green">633</FONT>                            }<a name="line.633"></a>
<FONT color="green">634</FONT>                        }<a name="line.634"></a>
<FONT color="green">635</FONT>                    }<a name="line.635"></a>
<FONT color="green">636</FONT>    <a name="line.636"></a>
<FONT color="green">637</FONT>                    // go to next block<a name="line.637"></a>
<FONT color="green">638</FONT>                    ++blockIndex;<a name="line.638"></a>
<FONT color="green">639</FONT>    <a name="line.639"></a>
<FONT color="green">640</FONT>                }<a name="line.640"></a>
<FONT color="green">641</FONT>            }<a name="line.641"></a>
<FONT color="green">642</FONT>    <a name="line.642"></a>
<FONT color="green">643</FONT>            return out;<a name="line.643"></a>
<FONT color="green">644</FONT>    <a name="line.644"></a>
<FONT color="green">645</FONT>        }<a name="line.645"></a>
<FONT color="green">646</FONT>    <a name="line.646"></a>
<FONT color="green">647</FONT>        /** {@inheritDoc} */<a name="line.647"></a>
<FONT color="green">648</FONT>        @Override<a name="line.648"></a>
<FONT color="green">649</FONT>        public T[][] getData() {<a name="line.649"></a>
<FONT color="green">650</FONT>    <a name="line.650"></a>
<FONT color="green">651</FONT>            final T[][] data = buildArray(getField(), getRowDimension(), getColumnDimension());<a name="line.651"></a>
<FONT color="green">652</FONT>            final int lastColumns = columns - (blockColumns - 1) * BLOCK_SIZE;<a name="line.652"></a>
<FONT color="green">653</FONT>    <a name="line.653"></a>
<FONT color="green">654</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.654"></a>
<FONT color="green">655</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.655"></a>
<FONT color="green">656</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.656"></a>
<FONT color="green">657</FONT>                int regularPos   = 0;<a name="line.657"></a>
<FONT color="green">658</FONT>                int lastPos      = 0;<a name="line.658"></a>
<FONT color="green">659</FONT>                for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.659"></a>
<FONT color="green">660</FONT>                    final T[] dataP = data[p];<a name="line.660"></a>
<FONT color="green">661</FONT>                    int blockIndex = iBlock * blockColumns;<a name="line.661"></a>
<FONT color="green">662</FONT>                    int dataPos    = 0;<a name="line.662"></a>
<FONT color="green">663</FONT>                    for (int jBlock = 0; jBlock &lt; blockColumns - 1; ++jBlock) {<a name="line.663"></a>
<FONT color="green">664</FONT>                        System.arraycopy(blocks[blockIndex++], regularPos, dataP, dataPos, BLOCK_SIZE);<a name="line.664"></a>
<FONT color="green">665</FONT>                        dataPos += BLOCK_SIZE;<a name="line.665"></a>
<FONT color="green">666</FONT>                    }<a name="line.666"></a>
<FONT color="green">667</FONT>                    System.arraycopy(blocks[blockIndex], lastPos, dataP, dataPos, lastColumns);<a name="line.667"></a>
<FONT color="green">668</FONT>                    regularPos += BLOCK_SIZE;<a name="line.668"></a>
<FONT color="green">669</FONT>                    lastPos    += lastColumns;<a name="line.669"></a>
<FONT color="green">670</FONT>                }<a name="line.670"></a>
<FONT color="green">671</FONT>            }<a name="line.671"></a>
<FONT color="green">672</FONT>    <a name="line.672"></a>
<FONT color="green">673</FONT>            return data;<a name="line.673"></a>
<FONT color="green">674</FONT>    <a name="line.674"></a>
<FONT color="green">675</FONT>        }<a name="line.675"></a>
<FONT color="green">676</FONT>    <a name="line.676"></a>
<FONT color="green">677</FONT>        /** {@inheritDoc} */<a name="line.677"></a>
<FONT color="green">678</FONT>        @Override<a name="line.678"></a>
<FONT color="green">679</FONT>        public FieldMatrix&lt;T&gt; getSubMatrix(final int startRow, final int endRow,<a name="line.679"></a>
<FONT color="green">680</FONT>                                       final int startColumn, final int endColumn)<a name="line.680"></a>
<FONT color="green">681</FONT>            throws MatrixIndexException {<a name="line.681"></a>
<FONT color="green">682</FONT>    <a name="line.682"></a>
<FONT color="green">683</FONT>            // safety checks<a name="line.683"></a>
<FONT color="green">684</FONT>            checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.684"></a>
<FONT color="green">685</FONT>    <a name="line.685"></a>
<FONT color="green">686</FONT>            // create the output matrix<a name="line.686"></a>
<FONT color="green">687</FONT>            final BlockFieldMatrix&lt;T&gt; out =<a name="line.687"></a>
<FONT color="green">688</FONT>                new BlockFieldMatrix&lt;T&gt;(getField(), endRow - startRow + 1, endColumn - startColumn + 1);<a name="line.688"></a>
<FONT color="green">689</FONT>    <a name="line.689"></a>
<FONT color="green">690</FONT>            // compute blocks shifts<a name="line.690"></a>
<FONT color="green">691</FONT>            final int blockStartRow    = startRow    / BLOCK_SIZE;<a name="line.691"></a>
<FONT color="green">692</FONT>            final int rowsShift        = startRow    % BLOCK_SIZE;<a name="line.692"></a>
<FONT color="green">693</FONT>            final int blockStartColumn = startColumn / BLOCK_SIZE;<a name="line.693"></a>
<FONT color="green">694</FONT>            final int columnsShift     = startColumn % BLOCK_SIZE;<a name="line.694"></a>
<FONT color="green">695</FONT>    <a name="line.695"></a>
<FONT color="green">696</FONT>            // perform extraction block-wise, to ensure good cache behavior<a name="line.696"></a>
<FONT color="green">697</FONT>            int pBlock = blockStartRow;<a name="line.697"></a>
<FONT color="green">698</FONT>            for (int iBlock = 0; iBlock &lt; out.blockRows; ++iBlock) {<a name="line.698"></a>
<FONT color="green">699</FONT>                final int iHeight = out.blockHeight(iBlock);<a name="line.699"></a>
<FONT color="green">700</FONT>                int qBlock = blockStartColumn;<a name="line.700"></a>
<FONT color="green">701</FONT>                for (int jBlock = 0; jBlock &lt; out.blockColumns; ++jBlock) {<a name="line.701"></a>
<FONT color="green">702</FONT>                    final int jWidth = out.blockWidth(jBlock);<a name="line.702"></a>
<FONT color="green">703</FONT>    <a name="line.703"></a>
<FONT color="green">704</FONT>                    // handle one block of the output matrix<a name="line.704"></a>
<FONT color="green">705</FONT>                    final int      outIndex = iBlock * out.blockColumns + jBlock;<a name="line.705"></a>
<FONT color="green">706</FONT>                    final T[] outBlock = out.blocks[outIndex];<a name="line.706"></a>
<FONT color="green">707</FONT>                    final int      index    = pBlock * blockColumns + qBlock;<a name="line.707"></a>
<FONT color="green">708</FONT>                    final int      width    = blockWidth(qBlock);<a name="line.708"></a>
<FONT color="green">709</FONT>    <a name="line.709"></a>
<FONT color="green">710</FONT>                    final int heightExcess = iHeight + rowsShift - BLOCK_SIZE;<a name="line.710"></a>
<FONT color="green">711</FONT>                    final int widthExcess  = jWidth + columnsShift - BLOCK_SIZE;<a name="line.711"></a>
<FONT color="green">712</FONT>                    if (heightExcess &gt; 0) {<a name="line.712"></a>
<FONT color="green">713</FONT>                        // the submatrix block spans on two blocks rows from the original matrix<a name="line.713"></a>
<FONT color="green">714</FONT>                        if (widthExcess &gt; 0) {<a name="line.714"></a>
<FONT color="green">715</FONT>                            // the submatrix block spans on two blocks columns from the original matrix<a name="line.715"></a>
<FONT color="green">716</FONT>                            final int width2 = blockWidth(qBlock + 1);<a name="line.716"></a>
<FONT color="green">717</FONT>                            copyBlockPart(blocks[index], width,<a name="line.717"></a>
<FONT color="green">718</FONT>                                          rowsShift, BLOCK_SIZE,<a name="line.718"></a>
<FONT color="green">719</FONT>                                          columnsShift, BLOCK_SIZE,<a name="line.719"></a>
<FONT color="green">720</FONT>                                          outBlock, jWidth, 0, 0);<a name="line.720"></a>
<FONT color="green">721</FONT>                            copyBlockPart(blocks[index + 1], width2,<a name="line.721"></a>
<FONT color="green">722</FONT>                                          rowsShift, BLOCK_SIZE,<a name="line.722"></a>
<FONT color="green">723</FONT>                                          0, widthExcess,<a name="line.723"></a>
<FONT color="green">724</FONT>                                          outBlock, jWidth, 0, jWidth - widthExcess);<a name="line.724"></a>
<FONT color="green">725</FONT>                            copyBlockPart(blocks[index + blockColumns], width,<a name="line.725"></a>
<FONT color="green">726</FONT>                                          0, heightExcess,<a name="line.726"></a>
<FONT color="green">727</FONT>                                          columnsShift, BLOCK_SIZE,<a name="line.727"></a>
<FONT color="green">728</FONT>                                          outBlock, jWidth, iHeight - heightExcess, 0);<a name="line.728"></a>
<FONT color="green">729</FONT>                            copyBlockPart(blocks[index + blockColumns + 1], width2,<a name="line.729"></a>
<FONT color="green">730</FONT>                                          0, heightExcess,<a name="line.730"></a>
<FONT color="green">731</FONT>                                          0, widthExcess,<a name="line.731"></a>
<FONT color="green">732</FONT>                                          outBlock, jWidth, iHeight - heightExcess, jWidth - widthExcess);<a name="line.732"></a>
<FONT color="green">733</FONT>                        } else {<a name="line.733"></a>
<FONT color="green">734</FONT>                            // the submatrix block spans on one block column from the original matrix<a name="line.734"></a>
<FONT color="green">735</FONT>                            copyBlockPart(blocks[index], width,<a name="line.735"></a>
<FONT color="green">736</FONT>                                          rowsShift, BLOCK_SIZE,<a name="line.736"></a>
<FONT color="green">737</FONT>                                          columnsShift, jWidth + columnsShift,<a name="line.737"></a>
<FONT color="green">738</FONT>                                          outBlock, jWidth, 0, 0);<a name="line.738"></a>
<FONT color="green">739</FONT>                            copyBlockPart(blocks[index + blockColumns], width,<a name="line.739"></a>
<FONT color="green">740</FONT>                                          0, heightExcess,<a name="line.740"></a>
<FONT color="green">741</FONT>                                          columnsShift, jWidth + columnsShift,<a name="line.741"></a>
<FONT color="green">742</FONT>                                          outBlock, jWidth, iHeight - heightExcess, 0);<a name="line.742"></a>
<FONT color="green">743</FONT>                        }<a name="line.743"></a>
<FONT color="green">744</FONT>                    } else {<a name="line.744"></a>
<FONT color="green">745</FONT>                        // the submatrix block spans on one block row from the original matrix<a name="line.745"></a>
<FONT color="green">746</FONT>                        if (widthExcess &gt; 0) {<a name="line.746"></a>
<FONT color="green">747</FONT>                            // the submatrix block spans on two blocks columns from the original matrix<a name="line.747"></a>
<FONT color="green">748</FONT>                            final int width2 = blockWidth(qBlock + 1);<a name="line.748"></a>
<FONT color="green">749</FONT>                            copyBlockPart(blocks[index], width,<a name="line.749"></a>
<FONT color="green">750</FONT>                                          rowsShift, iHeight + rowsShift,<a name="line.750"></a>
<FONT color="green">751</FONT>                                          columnsShift, BLOCK_SIZE,<a name="line.751"></a>
<FONT color="green">752</FONT>                                          outBlock, jWidth, 0, 0);<a name="line.752"></a>
<FONT color="green">753</FONT>                            copyBlockPart(blocks[index + 1], width2,<a name="line.753"></a>
<FONT color="green">754</FONT>                                          rowsShift, iHeight + rowsShift,<a name="line.754"></a>
<FONT color="green">755</FONT>                                          0, widthExcess,<a name="line.755"></a>
<FONT color="green">756</FONT>                                          outBlock, jWidth, 0, jWidth - widthExcess);<a name="line.756"></a>
<FONT color="green">757</FONT>                        } else {<a name="line.757"></a>
<FONT color="green">758</FONT>                            // the submatrix block spans on one block column from the original matrix<a name="line.758"></a>
<FONT color="green">759</FONT>                            copyBlockPart(blocks[index], width,<a name="line.759"></a>
<FONT color="green">760</FONT>                                          rowsShift, iHeight + rowsShift,<a name="line.760"></a>
<FONT color="green">761</FONT>                                          columnsShift, jWidth + columnsShift,<a name="line.761"></a>
<FONT color="green">762</FONT>                                          outBlock, jWidth, 0, 0);<a name="line.762"></a>
<FONT color="green">763</FONT>                        }<a name="line.763"></a>
<FONT color="green">764</FONT>                   }<a name="line.764"></a>
<FONT color="green">765</FONT>    <a name="line.765"></a>
<FONT color="green">766</FONT>                    ++qBlock;<a name="line.766"></a>
<FONT color="green">767</FONT>                }<a name="line.767"></a>
<FONT color="green">768</FONT>    <a name="line.768"></a>
<FONT color="green">769</FONT>                ++pBlock;<a name="line.769"></a>
<FONT color="green">770</FONT>    <a name="line.770"></a>
<FONT color="green">771</FONT>            }<a name="line.771"></a>
<FONT color="green">772</FONT>    <a name="line.772"></a>
<FONT color="green">773</FONT>            return out;<a name="line.773"></a>
<FONT color="green">774</FONT>    <a name="line.774"></a>
<FONT color="green">775</FONT>        }<a name="line.775"></a>
<FONT color="green">776</FONT>    <a name="line.776"></a>
<FONT color="green">777</FONT>        /**<a name="line.777"></a>
<FONT color="green">778</FONT>         * Copy a part of a block into another one<a name="line.778"></a>
<FONT color="green">779</FONT>         * &lt;p&gt;This method can be called only when the specified part fits in both<a name="line.779"></a>
<FONT color="green">780</FONT>         * blocks, no verification is done here.&lt;/p&gt;<a name="line.780"></a>
<FONT color="green">781</FONT>         * @param srcBlock source block<a name="line.781"></a>
<FONT color="green">782</FONT>         * @param srcWidth source block width ({@link #BLOCK_SIZE} or smaller)<a name="line.782"></a>
<FONT color="green">783</FONT>         * @param srcStartRow start row in the source block<a name="line.783"></a>
<FONT color="green">784</FONT>         * @param srcEndRow end row (exclusive) in the source block<a name="line.784"></a>
<FONT color="green">785</FONT>         * @param srcStartColumn start column in the source block<a name="line.785"></a>
<FONT color="green">786</FONT>         * @param srcEndColumn end column (exclusive) in the source block<a name="line.786"></a>
<FONT color="green">787</FONT>         * @param dstBlock destination block<a name="line.787"></a>
<FONT color="green">788</FONT>         * @param dstWidth destination block width ({@link #BLOCK_SIZE} or smaller)<a name="line.788"></a>
<FONT color="green">789</FONT>         * @param dstStartRow start row in the destination block<a name="line.789"></a>
<FONT color="green">790</FONT>         * @param dstStartColumn start column in the destination block<a name="line.790"></a>
<FONT color="green">791</FONT>         */<a name="line.791"></a>
<FONT color="green">792</FONT>        private void copyBlockPart(final T[] srcBlock, final int srcWidth,<a name="line.792"></a>
<FONT color="green">793</FONT>                                   final int srcStartRow, final int srcEndRow,<a name="line.793"></a>
<FONT color="green">794</FONT>                                   final int srcStartColumn, final int srcEndColumn,<a name="line.794"></a>
<FONT color="green">795</FONT>                                   final T[] dstBlock, final int dstWidth,<a name="line.795"></a>
<FONT color="green">796</FONT>                                   final int dstStartRow, final int dstStartColumn) {<a name="line.796"></a>
<FONT color="green">797</FONT>            final int length = srcEndColumn - srcStartColumn;<a name="line.797"></a>
<FONT color="green">798</FONT>            int srcPos = srcStartRow * srcWidth + srcStartColumn;<a name="line.798"></a>
<FONT color="green">799</FONT>            int dstPos = dstStartRow * dstWidth + dstStartColumn;<a name="line.799"></a>
<FONT color="green">800</FONT>            for (int srcRow = srcStartRow; srcRow &lt; srcEndRow; ++srcRow) {<a name="line.800"></a>
<FONT color="green">801</FONT>                System.arraycopy(srcBlock, srcPos, dstBlock, dstPos, length);<a name="line.801"></a>
<FONT color="green">802</FONT>                srcPos += srcWidth;<a name="line.802"></a>
<FONT color="green">803</FONT>                dstPos += dstWidth;<a name="line.803"></a>
<FONT color="green">804</FONT>            }<a name="line.804"></a>
<FONT color="green">805</FONT>        }<a name="line.805"></a>
<FONT color="green">806</FONT>    <a name="line.806"></a>
<FONT color="green">807</FONT>        /** {@inheritDoc} */<a name="line.807"></a>
<FONT color="green">808</FONT>        @Override<a name="line.808"></a>
<FONT color="green">809</FONT>        public void setSubMatrix(final T[][] subMatrix, final int row, final int column)<a name="line.809"></a>
<FONT color="green">810</FONT>            throws MatrixIndexException {<a name="line.810"></a>
<FONT color="green">811</FONT>    <a name="line.811"></a>
<FONT color="green">812</FONT>            // safety checks<a name="line.812"></a>
<FONT color="green">813</FONT>            final int refLength = subMatrix[0].length;<a name="line.813"></a>
<FONT color="green">814</FONT>            if (refLength &lt; 1) {<a name="line.814"></a>
<FONT color="green">815</FONT>                throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_COLUMN);<a name="line.815"></a>
<FONT color="green">816</FONT>            }<a name="line.816"></a>
<FONT color="green">817</FONT>            final int endRow    = row + subMatrix.length - 1;<a name="line.817"></a>
<FONT color="green">818</FONT>            final int endColumn = column + refLength - 1;<a name="line.818"></a>
<FONT color="green">819</FONT>            checkSubMatrixIndex(row, endRow, column, endColumn);<a name="line.819"></a>
<FONT color="green">820</FONT>            for (final T[] subRow : subMatrix) {<a name="line.820"></a>
<FONT color="green">821</FONT>                if (subRow.length != refLength) {<a name="line.821"></a>
<FONT color="green">822</FONT>                    throw MathRuntimeException.createIllegalArgumentException(<a name="line.822"></a>
<FONT color="green">823</FONT>                            LocalizedFormats.DIFFERENT_ROWS_LENGTHS,<a name="line.823"></a>
<FONT color="green">824</FONT>                            refLength, subRow.length);<a name="line.824"></a>
<FONT color="green">825</FONT>                }<a name="line.825"></a>
<FONT color="green">826</FONT>            }<a name="line.826"></a>
<FONT color="green">827</FONT>    <a name="line.827"></a>
<FONT color="green">828</FONT>            // compute blocks bounds<a name="line.828"></a>
<FONT color="green">829</FONT>            final int blockStartRow    = row / BLOCK_SIZE;<a name="line.829"></a>
<FONT color="green">830</FONT>            final int blockEndRow      = (endRow + BLOCK_SIZE) / BLOCK_SIZE;<a name="line.830"></a>
<FONT color="green">831</FONT>            final int blockStartColumn = column / BLOCK_SIZE;<a name="line.831"></a>
<FONT color="green">832</FONT>            final int blockEndColumn   = (endColumn + BLOCK_SIZE) / BLOCK_SIZE;<a name="line.832"></a>
<FONT color="green">833</FONT>    <a name="line.833"></a>
<FONT color="green">834</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.834"></a>
<FONT color="green">835</FONT>            for (int iBlock = blockStartRow; iBlock &lt; blockEndRow; ++iBlock) {<a name="line.835"></a>
<FONT color="green">836</FONT>                final int iHeight  = blockHeight(iBlock);<a name="line.836"></a>
<FONT color="green">837</FONT>                final int firstRow = iBlock * BLOCK_SIZE;<a name="line.837"></a>
<FONT color="green">838</FONT>                final int iStart   = FastMath.max(row,    firstRow);<a name="line.838"></a>
<FONT color="green">839</FONT>                final int iEnd     = FastMath.min(endRow + 1, firstRow + iHeight);<a name="line.839"></a>
<FONT color="green">840</FONT>    <a name="line.840"></a>
<FONT color="green">841</FONT>                for (int jBlock = blockStartColumn; jBlock &lt; blockEndColumn; ++jBlock) {<a name="line.841"></a>
<FONT color="green">842</FONT>                    final int jWidth      = blockWidth(jBlock);<a name="line.842"></a>
<FONT color="green">843</FONT>                    final int firstColumn = jBlock * BLOCK_SIZE;<a name="line.843"></a>
<FONT color="green">844</FONT>                    final int jStart      = FastMath.max(column,    firstColumn);<a name="line.844"></a>
<FONT color="green">845</FONT>                    final int jEnd        = FastMath.min(endColumn + 1, firstColumn + jWidth);<a name="line.845"></a>
<FONT color="green">846</FONT>                    final int jLength     = jEnd - jStart;<a name="line.846"></a>
<FONT color="green">847</FONT>    <a name="line.847"></a>
<FONT color="green">848</FONT>                    // handle one block, row by row<a name="line.848"></a>
<FONT color="green">849</FONT>                    final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.849"></a>
<FONT color="green">850</FONT>                    for (int i = iStart; i &lt; iEnd; ++i) {<a name="line.850"></a>
<FONT color="green">851</FONT>                        System.arraycopy(subMatrix[i - row], jStart - column,<a name="line.851"></a>
<FONT color="green">852</FONT>                                         block, (i - firstRow) * jWidth + (jStart - firstColumn),<a name="line.852"></a>
<FONT color="green">853</FONT>                                         jLength);<a name="line.853"></a>
<FONT color="green">854</FONT>                    }<a name="line.854"></a>
<FONT color="green">855</FONT>    <a name="line.855"></a>
<FONT color="green">856</FONT>                }<a name="line.856"></a>
<FONT color="green">857</FONT>            }<a name="line.857"></a>
<FONT color="green">858</FONT>        }<a name="line.858"></a>
<FONT color="green">859</FONT>    <a name="line.859"></a>
<FONT color="green">860</FONT>        /** {@inheritDoc} */<a name="line.860"></a>
<FONT color="green">861</FONT>        @Override<a name="line.861"></a>
<FONT color="green">862</FONT>        public FieldMatrix&lt;T&gt; getRowMatrix(final int row)<a name="line.862"></a>
<FONT color="green">863</FONT>            throws MatrixIndexException {<a name="line.863"></a>
<FONT color="green">864</FONT>    <a name="line.864"></a>
<FONT color="green">865</FONT>            checkRowIndex(row);<a name="line.865"></a>
<FONT color="green">866</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), 1, columns);<a name="line.866"></a>
<FONT color="green">867</FONT>    <a name="line.867"></a>
<FONT color="green">868</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.868"></a>
<FONT color="green">869</FONT>            final int iBlock  = row / BLOCK_SIZE;<a name="line.869"></a>
<FONT color="green">870</FONT>            final int iRow    = row - iBlock * BLOCK_SIZE;<a name="line.870"></a>
<FONT color="green">871</FONT>            int outBlockIndex = 0;<a name="line.871"></a>
<FONT color="green">872</FONT>            int outIndex      = 0;<a name="line.872"></a>
<FONT color="green">873</FONT>            T[] outBlock = out.blocks[outBlockIndex];<a name="line.873"></a>
<FONT color="green">874</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.874"></a>
<FONT color="green">875</FONT>                final int jWidth     = blockWidth(jBlock);<a name="line.875"></a>
<FONT color="green">876</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.876"></a>
<FONT color="green">877</FONT>                final int available  = outBlock.length - outIndex;<a name="line.877"></a>
<FONT color="green">878</FONT>                if (jWidth &gt; available) {<a name="line.878"></a>
<FONT color="green">879</FONT>                    System.arraycopy(block, iRow * jWidth, outBlock, outIndex, available);<a name="line.879"></a>
<FONT color="green">880</FONT>                    outBlock = out.blocks[++outBlockIndex];<a name="line.880"></a>
<FONT color="green">881</FONT>                    System.arraycopy(block, iRow * jWidth, outBlock, 0, jWidth - available);<a name="line.881"></a>
<FONT color="green">882</FONT>                    outIndex = jWidth - available;<a name="line.882"></a>
<FONT color="green">883</FONT>                } else {<a name="line.883"></a>
<FONT color="green">884</FONT>                    System.arraycopy(block, iRow * jWidth, outBlock, outIndex, jWidth);<a name="line.884"></a>
<FONT color="green">885</FONT>                    outIndex += jWidth;<a name="line.885"></a>
<FONT color="green">886</FONT>                }<a name="line.886"></a>
<FONT color="green">887</FONT>            }<a name="line.887"></a>
<FONT color="green">888</FONT>    <a name="line.888"></a>
<FONT color="green">889</FONT>            return out;<a name="line.889"></a>
<FONT color="green">890</FONT>    <a name="line.890"></a>
<FONT color="green">891</FONT>        }<a name="line.891"></a>
<FONT color="green">892</FONT>    <a name="line.892"></a>
<FONT color="green">893</FONT>        /** {@inheritDoc} */<a name="line.893"></a>
<FONT color="green">894</FONT>        @Override<a name="line.894"></a>
<FONT color="green">895</FONT>        public void setRowMatrix(final int row, final FieldMatrix&lt;T&gt; matrix)<a name="line.895"></a>
<FONT color="green">896</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.896"></a>
<FONT color="green">897</FONT>            try {<a name="line.897"></a>
<FONT color="green">898</FONT>                setRowMatrix(row, (BlockFieldMatrix&lt;T&gt;) matrix);<a name="line.898"></a>
<FONT color="green">899</FONT>            } catch (ClassCastException cce) {<a name="line.899"></a>
<FONT color="green">900</FONT>                super.setRowMatrix(row, matrix);<a name="line.900"></a>
<FONT color="green">901</FONT>            }<a name="line.901"></a>
<FONT color="green">902</FONT>        }<a name="line.902"></a>
<FONT color="green">903</FONT>    <a name="line.903"></a>
<FONT color="green">904</FONT>        /**<a name="line.904"></a>
<FONT color="green">905</FONT>         * Sets the entries in row number &lt;code&gt;row&lt;/code&gt;<a name="line.905"></a>
<FONT color="green">906</FONT>         * as a row matrix.  Row indices start at 0.<a name="line.906"></a>
<FONT color="green">907</FONT>         *<a name="line.907"></a>
<FONT color="green">908</FONT>         * @param row the row to be set<a name="line.908"></a>
<FONT color="green">909</FONT>         * @param matrix row matrix (must have one row and the same number of columns<a name="line.909"></a>
<FONT color="green">910</FONT>         * as the instance)<a name="line.910"></a>
<FONT color="green">911</FONT>         * @throws MatrixIndexException if the specified row index is invalid<a name="line.911"></a>
<FONT color="green">912</FONT>         * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.912"></a>
<FONT color="green">913</FONT>         * instance row<a name="line.913"></a>
<FONT color="green">914</FONT>         */<a name="line.914"></a>
<FONT color="green">915</FONT>        public void setRowMatrix(final int row, final BlockFieldMatrix&lt;T&gt; matrix)<a name="line.915"></a>
<FONT color="green">916</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.916"></a>
<FONT color="green">917</FONT>    <a name="line.917"></a>
<FONT color="green">918</FONT>            checkRowIndex(row);<a name="line.918"></a>
<FONT color="green">919</FONT>            final int nCols = getColumnDimension();<a name="line.919"></a>
<FONT color="green">920</FONT>            if ((matrix.getRowDimension() != 1) ||<a name="line.920"></a>
<FONT color="green">921</FONT>                (matrix.getColumnDimension() != nCols)) {<a name="line.921"></a>
<FONT color="green">922</FONT>                throw new InvalidMatrixException(<a name="line.922"></a>
<FONT color="green">923</FONT>                        LocalizedFormats.DIMENSIONS_MISMATCH_2x2,<a name="line.923"></a>
<FONT color="green">924</FONT>                        matrix.getRowDimension(), matrix.getColumnDimension(),<a name="line.924"></a>
<FONT color="green">925</FONT>                        1, nCols);<a name="line.925"></a>
<FONT color="green">926</FONT>            }<a name="line.926"></a>
<FONT color="green">927</FONT>    <a name="line.927"></a>
<FONT color="green">928</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.928"></a>
<FONT color="green">929</FONT>            final int iBlock = row / BLOCK_SIZE;<a name="line.929"></a>
<FONT color="green">930</FONT>            final int iRow   = row - iBlock * BLOCK_SIZE;<a name="line.930"></a>
<FONT color="green">931</FONT>            int mBlockIndex  = 0;<a name="line.931"></a>
<FONT color="green">932</FONT>            int mIndex       = 0;<a name="line.932"></a>
<FONT color="green">933</FONT>            T[] mBlock  = matrix.blocks[mBlockIndex];<a name="line.933"></a>
<FONT color="green">934</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.934"></a>
<FONT color="green">935</FONT>                final int jWidth     = blockWidth(jBlock);<a name="line.935"></a>
<FONT color="green">936</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.936"></a>
<FONT color="green">937</FONT>                final int available  = mBlock.length - mIndex;<a name="line.937"></a>
<FONT color="green">938</FONT>                if (jWidth &gt; available) {<a name="line.938"></a>
<FONT color="green">939</FONT>                    System.arraycopy(mBlock, mIndex, block, iRow * jWidth, available);<a name="line.939"></a>
<FONT color="green">940</FONT>                    mBlock = matrix.blocks[++mBlockIndex];<a name="line.940"></a>
<FONT color="green">941</FONT>                    System.arraycopy(mBlock, 0, block, iRow * jWidth, jWidth - available);<a name="line.941"></a>
<FONT color="green">942</FONT>                    mIndex = jWidth - available;<a name="line.942"></a>
<FONT color="green">943</FONT>                } else {<a name="line.943"></a>
<FONT color="green">944</FONT>                    System.arraycopy(mBlock, mIndex, block, iRow * jWidth, jWidth);<a name="line.944"></a>
<FONT color="green">945</FONT>                    mIndex += jWidth;<a name="line.945"></a>
<FONT color="green">946</FONT>               }<a name="line.946"></a>
<FONT color="green">947</FONT>            }<a name="line.947"></a>
<FONT color="green">948</FONT>    <a name="line.948"></a>
<FONT color="green">949</FONT>        }<a name="line.949"></a>
<FONT color="green">950</FONT>    <a name="line.950"></a>
<FONT color="green">951</FONT>        /** {@inheritDoc} */<a name="line.951"></a>
<FONT color="green">952</FONT>        @Override<a name="line.952"></a>
<FONT color="green">953</FONT>        public FieldMatrix&lt;T&gt; getColumnMatrix(final int column)<a name="line.953"></a>
<FONT color="green">954</FONT>            throws MatrixIndexException {<a name="line.954"></a>
<FONT color="green">955</FONT>    <a name="line.955"></a>
<FONT color="green">956</FONT>            checkColumnIndex(column);<a name="line.956"></a>
<FONT color="green">957</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), rows, 1);<a name="line.957"></a>
<FONT color="green">958</FONT>    <a name="line.958"></a>
<FONT color="green">959</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.959"></a>
<FONT color="green">960</FONT>            final int jBlock  = column / BLOCK_SIZE;<a name="line.960"></a>
<FONT color="green">961</FONT>            final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.961"></a>
<FONT color="green">962</FONT>            final int jWidth  = blockWidth(jBlock);<a name="line.962"></a>
<FONT color="green">963</FONT>            int outBlockIndex = 0;<a name="line.963"></a>
<FONT color="green">964</FONT>            int outIndex      = 0;<a name="line.964"></a>
<FONT color="green">965</FONT>            T[] outBlock = out.blocks[outBlockIndex];<a name="line.965"></a>
<FONT color="green">966</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.966"></a>
<FONT color="green">967</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.967"></a>
<FONT color="green">968</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.968"></a>
<FONT color="green">969</FONT>                for (int i = 0; i &lt; iHeight; ++i) {<a name="line.969"></a>
<FONT color="green">970</FONT>                    if (outIndex &gt;= outBlock.length) {<a name="line.970"></a>
<FONT color="green">971</FONT>                        outBlock = out.blocks[++outBlockIndex];<a name="line.971"></a>
<FONT color="green">972</FONT>                        outIndex = 0;<a name="line.972"></a>
<FONT color="green">973</FONT>                    }<a name="line.973"></a>
<FONT color="green">974</FONT>                    outBlock[outIndex++] = block[i * jWidth + jColumn];<a name="line.974"></a>
<FONT color="green">975</FONT>                }<a name="line.975"></a>
<FONT color="green">976</FONT>            }<a name="line.976"></a>
<FONT color="green">977</FONT>    <a name="line.977"></a>
<FONT color="green">978</FONT>            return out;<a name="line.978"></a>
<FONT color="green">979</FONT>    <a name="line.979"></a>
<FONT color="green">980</FONT>        }<a name="line.980"></a>
<FONT color="green">981</FONT>    <a name="line.981"></a>
<FONT color="green">982</FONT>        /** {@inheritDoc} */<a name="line.982"></a>
<FONT color="green">983</FONT>        @Override<a name="line.983"></a>
<FONT color="green">984</FONT>        public void setColumnMatrix(final int column, final FieldMatrix&lt;T&gt; matrix)<a name="line.984"></a>
<FONT color="green">985</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.985"></a>
<FONT color="green">986</FONT>            try {<a name="line.986"></a>
<FONT color="green">987</FONT>                setColumnMatrix(column, (BlockFieldMatrix&lt;T&gt;) matrix);<a name="line.987"></a>
<FONT color="green">988</FONT>            } catch (ClassCastException cce) {<a name="line.988"></a>
<FONT color="green">989</FONT>                super.setColumnMatrix(column, matrix);<a name="line.989"></a>
<FONT color="green">990</FONT>            }<a name="line.990"></a>
<FONT color="green">991</FONT>        }<a name="line.991"></a>
<FONT color="green">992</FONT>    <a name="line.992"></a>
<FONT color="green">993</FONT>        /**<a name="line.993"></a>
<FONT color="green">994</FONT>         * Sets the entries in column number &lt;code&gt;column&lt;/code&gt;<a name="line.994"></a>
<FONT color="green">995</FONT>         * as a column matrix.  Column indices start at 0.<a name="line.995"></a>
<FONT color="green">996</FONT>         *<a name="line.996"></a>
<FONT color="green">997</FONT>         * @param column the column to be set<a name="line.997"></a>
<FONT color="green">998</FONT>         * @param matrix column matrix (must have one column and the same number of rows<a name="line.998"></a>
<FONT color="green">999</FONT>         * as the instance)<a name="line.999"></a>
<FONT color="green">1000</FONT>         * @throws MatrixIndexException if the specified column index is invalid<a name="line.1000"></a>
<FONT color="green">1001</FONT>         * @throws InvalidMatrixException if the matrix dimensions do not match one<a name="line.1001"></a>
<FONT color="green">1002</FONT>         * instance column<a name="line.1002"></a>
<FONT color="green">1003</FONT>         */<a name="line.1003"></a>
<FONT color="green">1004</FONT>        void setColumnMatrix(final int column, final BlockFieldMatrix&lt;T&gt; matrix)<a name="line.1004"></a>
<FONT color="green">1005</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.1005"></a>
<FONT color="green">1006</FONT>    <a name="line.1006"></a>
<FONT color="green">1007</FONT>            checkColumnIndex(column);<a name="line.1007"></a>
<FONT color="green">1008</FONT>            final int nRows = getRowDimension();<a name="line.1008"></a>
<FONT color="green">1009</FONT>            if ((matrix.getRowDimension() != nRows) ||<a name="line.1009"></a>
<FONT color="green">1010</FONT>                (matrix.getColumnDimension() != 1)) {<a name="line.1010"></a>
<FONT color="green">1011</FONT>                throw new InvalidMatrixException(<a name="line.1011"></a>
<FONT color="green">1012</FONT>                        LocalizedFormats.DIMENSIONS_MISMATCH_2x2,<a name="line.1012"></a>
<FONT color="green">1013</FONT>                        matrix.getRowDimension(), matrix.getColumnDimension(),<a name="line.1013"></a>
<FONT color="green">1014</FONT>                        nRows, 1);<a name="line.1014"></a>
<FONT color="green">1015</FONT>            }<a name="line.1015"></a>
<FONT color="green">1016</FONT>    <a name="line.1016"></a>
<FONT color="green">1017</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1017"></a>
<FONT color="green">1018</FONT>            final int jBlock  = column / BLOCK_SIZE;<a name="line.1018"></a>
<FONT color="green">1019</FONT>            final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1019"></a>
<FONT color="green">1020</FONT>            final int jWidth  = blockWidth(jBlock);<a name="line.1020"></a>
<FONT color="green">1021</FONT>            int mBlockIndex = 0;<a name="line.1021"></a>
<FONT color="green">1022</FONT>            int mIndex      = 0;<a name="line.1022"></a>
<FONT color="green">1023</FONT>            T[] mBlock = matrix.blocks[mBlockIndex];<a name="line.1023"></a>
<FONT color="green">1024</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1024"></a>
<FONT color="green">1025</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.1025"></a>
<FONT color="green">1026</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1026"></a>
<FONT color="green">1027</FONT>                for (int i = 0; i &lt; iHeight; ++i) {<a name="line.1027"></a>
<FONT color="green">1028</FONT>                    if (mIndex &gt;= mBlock.length) {<a name="line.1028"></a>
<FONT color="green">1029</FONT>                        mBlock = matrix.blocks[++mBlockIndex];<a name="line.1029"></a>
<FONT color="green">1030</FONT>                        mIndex = 0;<a name="line.1030"></a>
<FONT color="green">1031</FONT>                    }<a name="line.1031"></a>
<FONT color="green">1032</FONT>                    block[i * jWidth + jColumn] = mBlock[mIndex++];<a name="line.1032"></a>
<FONT color="green">1033</FONT>                }<a name="line.1033"></a>
<FONT color="green">1034</FONT>            }<a name="line.1034"></a>
<FONT color="green">1035</FONT>    <a name="line.1035"></a>
<FONT color="green">1036</FONT>        }<a name="line.1036"></a>
<FONT color="green">1037</FONT>    <a name="line.1037"></a>
<FONT color="green">1038</FONT>        /** {@inheritDoc} */<a name="line.1038"></a>
<FONT color="green">1039</FONT>        @Override<a name="line.1039"></a>
<FONT color="green">1040</FONT>        public FieldVector&lt;T&gt; getRowVector(final int row)<a name="line.1040"></a>
<FONT color="green">1041</FONT>            throws MatrixIndexException {<a name="line.1041"></a>
<FONT color="green">1042</FONT>    <a name="line.1042"></a>
<FONT color="green">1043</FONT>            checkRowIndex(row);<a name="line.1043"></a>
<FONT color="green">1044</FONT>            final T[] outData = buildArray(getField(), columns);<a name="line.1044"></a>
<FONT color="green">1045</FONT>    <a name="line.1045"></a>
<FONT color="green">1046</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1046"></a>
<FONT color="green">1047</FONT>            final int iBlock  = row / BLOCK_SIZE;<a name="line.1047"></a>
<FONT color="green">1048</FONT>            final int iRow    = row - iBlock * BLOCK_SIZE;<a name="line.1048"></a>
<FONT color="green">1049</FONT>            int outIndex      = 0;<a name="line.1049"></a>
<FONT color="green">1050</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1050"></a>
<FONT color="green">1051</FONT>                final int jWidth     = blockWidth(jBlock);<a name="line.1051"></a>
<FONT color="green">1052</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1052"></a>
<FONT color="green">1053</FONT>                System.arraycopy(block, iRow * jWidth, outData, outIndex, jWidth);<a name="line.1053"></a>
<FONT color="green">1054</FONT>                outIndex += jWidth;<a name="line.1054"></a>
<FONT color="green">1055</FONT>            }<a name="line.1055"></a>
<FONT color="green">1056</FONT>    <a name="line.1056"></a>
<FONT color="green">1057</FONT>            return new ArrayFieldVector&lt;T&gt;(outData, false);<a name="line.1057"></a>
<FONT color="green">1058</FONT>    <a name="line.1058"></a>
<FONT color="green">1059</FONT>        }<a name="line.1059"></a>
<FONT color="green">1060</FONT>    <a name="line.1060"></a>
<FONT color="green">1061</FONT>        /** {@inheritDoc} */<a name="line.1061"></a>
<FONT color="green">1062</FONT>        @Override<a name="line.1062"></a>
<FONT color="green">1063</FONT>        public void setRowVector(final int row, final FieldVector&lt;T&gt; vector)<a name="line.1063"></a>
<FONT color="green">1064</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.1064"></a>
<FONT color="green">1065</FONT>            try {<a name="line.1065"></a>
<FONT color="green">1066</FONT>                setRow(row, ((ArrayFieldVector&lt;T&gt;) vector).getDataRef());<a name="line.1066"></a>
<FONT color="green">1067</FONT>            } catch (ClassCastException cce) {<a name="line.1067"></a>
<FONT color="green">1068</FONT>                super.setRowVector(row, vector);<a name="line.1068"></a>
<FONT color="green">1069</FONT>            }<a name="line.1069"></a>
<FONT color="green">1070</FONT>        }<a name="line.1070"></a>
<FONT color="green">1071</FONT>    <a name="line.1071"></a>
<FONT color="green">1072</FONT>        /** {@inheritDoc} */<a name="line.1072"></a>
<FONT color="green">1073</FONT>        @Override<a name="line.1073"></a>
<FONT color="green">1074</FONT>        public FieldVector&lt;T&gt; getColumnVector(final int column)<a name="line.1074"></a>
<FONT color="green">1075</FONT>            throws MatrixIndexException {<a name="line.1075"></a>
<FONT color="green">1076</FONT>    <a name="line.1076"></a>
<FONT color="green">1077</FONT>            checkColumnIndex(column);<a name="line.1077"></a>
<FONT color="green">1078</FONT>            final T[] outData = buildArray(getField(), rows);<a name="line.1078"></a>
<FONT color="green">1079</FONT>    <a name="line.1079"></a>
<FONT color="green">1080</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1080"></a>
<FONT color="green">1081</FONT>            final int jBlock  = column / BLOCK_SIZE;<a name="line.1081"></a>
<FONT color="green">1082</FONT>            final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1082"></a>
<FONT color="green">1083</FONT>            final int jWidth  = blockWidth(jBlock);<a name="line.1083"></a>
<FONT color="green">1084</FONT>            int outIndex      = 0;<a name="line.1084"></a>
<FONT color="green">1085</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1085"></a>
<FONT color="green">1086</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.1086"></a>
<FONT color="green">1087</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1087"></a>
<FONT color="green">1088</FONT>                for (int i = 0; i &lt; iHeight; ++i) {<a name="line.1088"></a>
<FONT color="green">1089</FONT>                    outData[outIndex++] = block[i * jWidth + jColumn];<a name="line.1089"></a>
<FONT color="green">1090</FONT>                }<a name="line.1090"></a>
<FONT color="green">1091</FONT>            }<a name="line.1091"></a>
<FONT color="green">1092</FONT>    <a name="line.1092"></a>
<FONT color="green">1093</FONT>            return new ArrayFieldVector&lt;T&gt;(outData, false);<a name="line.1093"></a>
<FONT color="green">1094</FONT>    <a name="line.1094"></a>
<FONT color="green">1095</FONT>        }<a name="line.1095"></a>
<FONT color="green">1096</FONT>    <a name="line.1096"></a>
<FONT color="green">1097</FONT>        /** {@inheritDoc} */<a name="line.1097"></a>
<FONT color="green">1098</FONT>        @Override<a name="line.1098"></a>
<FONT color="green">1099</FONT>        public void setColumnVector(final int column, final FieldVector&lt;T&gt; vector)<a name="line.1099"></a>
<FONT color="green">1100</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.1100"></a>
<FONT color="green">1101</FONT>            try {<a name="line.1101"></a>
<FONT color="green">1102</FONT>                setColumn(column, ((ArrayFieldVector&lt;T&gt;) vector).getDataRef());<a name="line.1102"></a>
<FONT color="green">1103</FONT>            } catch (ClassCastException cce) {<a name="line.1103"></a>
<FONT color="green">1104</FONT>                super.setColumnVector(column, vector);<a name="line.1104"></a>
<FONT color="green">1105</FONT>            }<a name="line.1105"></a>
<FONT color="green">1106</FONT>        }<a name="line.1106"></a>
<FONT color="green">1107</FONT>    <a name="line.1107"></a>
<FONT color="green">1108</FONT>        /** {@inheritDoc} */<a name="line.1108"></a>
<FONT color="green">1109</FONT>        @Override<a name="line.1109"></a>
<FONT color="green">1110</FONT>        public T[] getRow(final int row)<a name="line.1110"></a>
<FONT color="green">1111</FONT>            throws MatrixIndexException {<a name="line.1111"></a>
<FONT color="green">1112</FONT>    <a name="line.1112"></a>
<FONT color="green">1113</FONT>            checkRowIndex(row);<a name="line.1113"></a>
<FONT color="green">1114</FONT>            final T[] out = buildArray(getField(), columns);<a name="line.1114"></a>
<FONT color="green">1115</FONT>    <a name="line.1115"></a>
<FONT color="green">1116</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1116"></a>
<FONT color="green">1117</FONT>            final int iBlock  = row / BLOCK_SIZE;<a name="line.1117"></a>
<FONT color="green">1118</FONT>            final int iRow    = row - iBlock * BLOCK_SIZE;<a name="line.1118"></a>
<FONT color="green">1119</FONT>            int outIndex      = 0;<a name="line.1119"></a>
<FONT color="green">1120</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1120"></a>
<FONT color="green">1121</FONT>                final int jWidth     = blockWidth(jBlock);<a name="line.1121"></a>
<FONT color="green">1122</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1122"></a>
<FONT color="green">1123</FONT>                System.arraycopy(block, iRow * jWidth, out, outIndex, jWidth);<a name="line.1123"></a>
<FONT color="green">1124</FONT>                outIndex += jWidth;<a name="line.1124"></a>
<FONT color="green">1125</FONT>            }<a name="line.1125"></a>
<FONT color="green">1126</FONT>    <a name="line.1126"></a>
<FONT color="green">1127</FONT>            return out;<a name="line.1127"></a>
<FONT color="green">1128</FONT>    <a name="line.1128"></a>
<FONT color="green">1129</FONT>        }<a name="line.1129"></a>
<FONT color="green">1130</FONT>    <a name="line.1130"></a>
<FONT color="green">1131</FONT>        /** {@inheritDoc} */<a name="line.1131"></a>
<FONT color="green">1132</FONT>        @Override<a name="line.1132"></a>
<FONT color="green">1133</FONT>        public void setRow(final int row, final T[] array)<a name="line.1133"></a>
<FONT color="green">1134</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.1134"></a>
<FONT color="green">1135</FONT>    <a name="line.1135"></a>
<FONT color="green">1136</FONT>            checkRowIndex(row);<a name="line.1136"></a>
<FONT color="green">1137</FONT>            final int nCols = getColumnDimension();<a name="line.1137"></a>
<FONT color="green">1138</FONT>            if (array.length != nCols) {<a name="line.1138"></a>
<FONT color="green">1139</FONT>                throw new InvalidMatrixException(<a name="line.1139"></a>
<FONT color="green">1140</FONT>                        LocalizedFormats.DIMENSIONS_MISMATCH_2x2,<a name="line.1140"></a>
<FONT color="green">1141</FONT>                        1, array.length, 1, nCols);<a name="line.1141"></a>
<FONT color="green">1142</FONT>            }<a name="line.1142"></a>
<FONT color="green">1143</FONT>    <a name="line.1143"></a>
<FONT color="green">1144</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1144"></a>
<FONT color="green">1145</FONT>            final int iBlock  = row / BLOCK_SIZE;<a name="line.1145"></a>
<FONT color="green">1146</FONT>            final int iRow    = row - iBlock * BLOCK_SIZE;<a name="line.1146"></a>
<FONT color="green">1147</FONT>            int outIndex      = 0;<a name="line.1147"></a>
<FONT color="green">1148</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1148"></a>
<FONT color="green">1149</FONT>                final int jWidth     = blockWidth(jBlock);<a name="line.1149"></a>
<FONT color="green">1150</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1150"></a>
<FONT color="green">1151</FONT>                System.arraycopy(array, outIndex, block, iRow * jWidth, jWidth);<a name="line.1151"></a>
<FONT color="green">1152</FONT>                outIndex += jWidth;<a name="line.1152"></a>
<FONT color="green">1153</FONT>            }<a name="line.1153"></a>
<FONT color="green">1154</FONT>    <a name="line.1154"></a>
<FONT color="green">1155</FONT>        }<a name="line.1155"></a>
<FONT color="green">1156</FONT>    <a name="line.1156"></a>
<FONT color="green">1157</FONT>        /** {@inheritDoc} */<a name="line.1157"></a>
<FONT color="green">1158</FONT>        @Override<a name="line.1158"></a>
<FONT color="green">1159</FONT>        public T[] getColumn(final int column)<a name="line.1159"></a>
<FONT color="green">1160</FONT>            throws MatrixIndexException {<a name="line.1160"></a>
<FONT color="green">1161</FONT>    <a name="line.1161"></a>
<FONT color="green">1162</FONT>            checkColumnIndex(column);<a name="line.1162"></a>
<FONT color="green">1163</FONT>            final T[] out = buildArray(getField(), rows);<a name="line.1163"></a>
<FONT color="green">1164</FONT>    <a name="line.1164"></a>
<FONT color="green">1165</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1165"></a>
<FONT color="green">1166</FONT>            final int jBlock  = column / BLOCK_SIZE;<a name="line.1166"></a>
<FONT color="green">1167</FONT>            final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1167"></a>
<FONT color="green">1168</FONT>            final int jWidth  = blockWidth(jBlock);<a name="line.1168"></a>
<FONT color="green">1169</FONT>            int outIndex      = 0;<a name="line.1169"></a>
<FONT color="green">1170</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1170"></a>
<FONT color="green">1171</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.1171"></a>
<FONT color="green">1172</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1172"></a>
<FONT color="green">1173</FONT>                for (int i = 0; i &lt; iHeight; ++i) {<a name="line.1173"></a>
<FONT color="green">1174</FONT>                    out[outIndex++] = block[i * jWidth + jColumn];<a name="line.1174"></a>
<FONT color="green">1175</FONT>                }<a name="line.1175"></a>
<FONT color="green">1176</FONT>            }<a name="line.1176"></a>
<FONT color="green">1177</FONT>    <a name="line.1177"></a>
<FONT color="green">1178</FONT>            return out;<a name="line.1178"></a>
<FONT color="green">1179</FONT>    <a name="line.1179"></a>
<FONT color="green">1180</FONT>        }<a name="line.1180"></a>
<FONT color="green">1181</FONT>    <a name="line.1181"></a>
<FONT color="green">1182</FONT>        /** {@inheritDoc} */<a name="line.1182"></a>
<FONT color="green">1183</FONT>        @Override<a name="line.1183"></a>
<FONT color="green">1184</FONT>        public void setColumn(final int column, final T[] array)<a name="line.1184"></a>
<FONT color="green">1185</FONT>            throws MatrixIndexException, InvalidMatrixException {<a name="line.1185"></a>
<FONT color="green">1186</FONT>    <a name="line.1186"></a>
<FONT color="green">1187</FONT>            checkColumnIndex(column);<a name="line.1187"></a>
<FONT color="green">1188</FONT>            final int nRows = getRowDimension();<a name="line.1188"></a>
<FONT color="green">1189</FONT>            if (array.length != nRows) {<a name="line.1189"></a>
<FONT color="green">1190</FONT>                throw new InvalidMatrixException(<a name="line.1190"></a>
<FONT color="green">1191</FONT>                        LocalizedFormats.DIMENSIONS_MISMATCH_2x2,<a name="line.1191"></a>
<FONT color="green">1192</FONT>                        array.length, 1, nRows, 1);<a name="line.1192"></a>
<FONT color="green">1193</FONT>            }<a name="line.1193"></a>
<FONT color="green">1194</FONT>    <a name="line.1194"></a>
<FONT color="green">1195</FONT>            // perform copy block-wise, to ensure good cache behavior<a name="line.1195"></a>
<FONT color="green">1196</FONT>            final int jBlock  = column / BLOCK_SIZE;<a name="line.1196"></a>
<FONT color="green">1197</FONT>            final int jColumn = column - jBlock * BLOCK_SIZE;<a name="line.1197"></a>
<FONT color="green">1198</FONT>            final int jWidth  = blockWidth(jBlock);<a name="line.1198"></a>
<FONT color="green">1199</FONT>            int outIndex      = 0;<a name="line.1199"></a>
<FONT color="green">1200</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1200"></a>
<FONT color="green">1201</FONT>                final int iHeight = blockHeight(iBlock);<a name="line.1201"></a>
<FONT color="green">1202</FONT>                final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1202"></a>
<FONT color="green">1203</FONT>                for (int i = 0; i &lt; iHeight; ++i) {<a name="line.1203"></a>
<FONT color="green">1204</FONT>                    block[i * jWidth + jColumn] = array[outIndex++];<a name="line.1204"></a>
<FONT color="green">1205</FONT>                }<a name="line.1205"></a>
<FONT color="green">1206</FONT>            }<a name="line.1206"></a>
<FONT color="green">1207</FONT>    <a name="line.1207"></a>
<FONT color="green">1208</FONT>        }<a name="line.1208"></a>
<FONT color="green">1209</FONT>    <a name="line.1209"></a>
<FONT color="green">1210</FONT>        /** {@inheritDoc} */<a name="line.1210"></a>
<FONT color="green">1211</FONT>        @Override<a name="line.1211"></a>
<FONT color="green">1212</FONT>        public T getEntry(final int row, final int column)<a name="line.1212"></a>
<FONT color="green">1213</FONT>            throws MatrixIndexException {<a name="line.1213"></a>
<FONT color="green">1214</FONT>            try {<a name="line.1214"></a>
<FONT color="green">1215</FONT>                final int iBlock = row    / BLOCK_SIZE;<a name="line.1215"></a>
<FONT color="green">1216</FONT>                final int jBlock = column / BLOCK_SIZE;<a name="line.1216"></a>
<FONT color="green">1217</FONT>                final int k      = (row    - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1217"></a>
<FONT color="green">1218</FONT>                                   (column - jBlock * BLOCK_SIZE);<a name="line.1218"></a>
<FONT color="green">1219</FONT>                return blocks[iBlock * blockColumns + jBlock][k];<a name="line.1219"></a>
<FONT color="green">1220</FONT>            } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1220"></a>
<FONT color="green">1221</FONT>                throw new MatrixIndexException(<a name="line.1221"></a>
<FONT color="green">1222</FONT>                        LocalizedFormats.NO_SUCH_MATRIX_ENTRY,<a name="line.1222"></a>
<FONT color="green">1223</FONT>                        row, column, getRowDimension(), getColumnDimension());<a name="line.1223"></a>
<FONT color="green">1224</FONT>            }<a name="line.1224"></a>
<FONT color="green">1225</FONT>        }<a name="line.1225"></a>
<FONT color="green">1226</FONT>    <a name="line.1226"></a>
<FONT color="green">1227</FONT>        /** {@inheritDoc} */<a name="line.1227"></a>
<FONT color="green">1228</FONT>        @Override<a name="line.1228"></a>
<FONT color="green">1229</FONT>        public void setEntry(final int row, final int column, final T value)<a name="line.1229"></a>
<FONT color="green">1230</FONT>            throws MatrixIndexException {<a name="line.1230"></a>
<FONT color="green">1231</FONT>            try {<a name="line.1231"></a>
<FONT color="green">1232</FONT>                final int iBlock = row    / BLOCK_SIZE;<a name="line.1232"></a>
<FONT color="green">1233</FONT>                final int jBlock = column / BLOCK_SIZE;<a name="line.1233"></a>
<FONT color="green">1234</FONT>                final int k      = (row    - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1234"></a>
<FONT color="green">1235</FONT>                                   (column - jBlock * BLOCK_SIZE);<a name="line.1235"></a>
<FONT color="green">1236</FONT>                blocks[iBlock * blockColumns + jBlock][k] = value;<a name="line.1236"></a>
<FONT color="green">1237</FONT>            } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1237"></a>
<FONT color="green">1238</FONT>                throw new MatrixIndexException(<a name="line.1238"></a>
<FONT color="green">1239</FONT>                        LocalizedFormats.NO_SUCH_MATRIX_ENTRY,<a name="line.1239"></a>
<FONT color="green">1240</FONT>                        row, column, getRowDimension(), getColumnDimension());<a name="line.1240"></a>
<FONT color="green">1241</FONT>            }<a name="line.1241"></a>
<FONT color="green">1242</FONT>        }<a name="line.1242"></a>
<FONT color="green">1243</FONT>    <a name="line.1243"></a>
<FONT color="green">1244</FONT>        /** {@inheritDoc} */<a name="line.1244"></a>
<FONT color="green">1245</FONT>        @Override<a name="line.1245"></a>
<FONT color="green">1246</FONT>        public void addToEntry(final int row, final int column, final T increment)<a name="line.1246"></a>
<FONT color="green">1247</FONT>            throws MatrixIndexException {<a name="line.1247"></a>
<FONT color="green">1248</FONT>            try {<a name="line.1248"></a>
<FONT color="green">1249</FONT>                final int iBlock = row    / BLOCK_SIZE;<a name="line.1249"></a>
<FONT color="green">1250</FONT>                final int jBlock = column / BLOCK_SIZE;<a name="line.1250"></a>
<FONT color="green">1251</FONT>                final int k      = (row    - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1251"></a>
<FONT color="green">1252</FONT>                                   (column - jBlock * BLOCK_SIZE);<a name="line.1252"></a>
<FONT color="green">1253</FONT>                final T[] blockIJ = blocks[iBlock * blockColumns + jBlock];<a name="line.1253"></a>
<FONT color="green">1254</FONT>                blockIJ[k] = blockIJ[k].add(increment);<a name="line.1254"></a>
<FONT color="green">1255</FONT>            } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1255"></a>
<FONT color="green">1256</FONT>                throw new MatrixIndexException(<a name="line.1256"></a>
<FONT color="green">1257</FONT>                        LocalizedFormats.NO_SUCH_MATRIX_ENTRY,<a name="line.1257"></a>
<FONT color="green">1258</FONT>                        row, column, getRowDimension(), getColumnDimension());<a name="line.1258"></a>
<FONT color="green">1259</FONT>            }<a name="line.1259"></a>
<FONT color="green">1260</FONT>        }<a name="line.1260"></a>
<FONT color="green">1261</FONT>    <a name="line.1261"></a>
<FONT color="green">1262</FONT>        /** {@inheritDoc} */<a name="line.1262"></a>
<FONT color="green">1263</FONT>        @Override<a name="line.1263"></a>
<FONT color="green">1264</FONT>        public void multiplyEntry(final int row, final int column, final T factor)<a name="line.1264"></a>
<FONT color="green">1265</FONT>            throws MatrixIndexException {<a name="line.1265"></a>
<FONT color="green">1266</FONT>            try {<a name="line.1266"></a>
<FONT color="green">1267</FONT>                final int iBlock = row    / BLOCK_SIZE;<a name="line.1267"></a>
<FONT color="green">1268</FONT>                final int jBlock = column / BLOCK_SIZE;<a name="line.1268"></a>
<FONT color="green">1269</FONT>                final int k      = (row    - iBlock * BLOCK_SIZE) * blockWidth(jBlock) +<a name="line.1269"></a>
<FONT color="green">1270</FONT>                                   (column - jBlock * BLOCK_SIZE);<a name="line.1270"></a>
<FONT color="green">1271</FONT>                final T[] blockIJ = blocks[iBlock * blockColumns + jBlock];<a name="line.1271"></a>
<FONT color="green">1272</FONT>                blockIJ[k] = blockIJ[k].multiply(factor);<a name="line.1272"></a>
<FONT color="green">1273</FONT>            } catch (ArrayIndexOutOfBoundsException e) {<a name="line.1273"></a>
<FONT color="green">1274</FONT>                throw new MatrixIndexException(<a name="line.1274"></a>
<FONT color="green">1275</FONT>                        LocalizedFormats.NO_SUCH_MATRIX_ENTRY,<a name="line.1275"></a>
<FONT color="green">1276</FONT>                        row, column, getRowDimension(), getColumnDimension());<a name="line.1276"></a>
<FONT color="green">1277</FONT>            }<a name="line.1277"></a>
<FONT color="green">1278</FONT>        }<a name="line.1278"></a>
<FONT color="green">1279</FONT>    <a name="line.1279"></a>
<FONT color="green">1280</FONT>        /** {@inheritDoc} */<a name="line.1280"></a>
<FONT color="green">1281</FONT>        @Override<a name="line.1281"></a>
<FONT color="green">1282</FONT>        public FieldMatrix&lt;T&gt; transpose() {<a name="line.1282"></a>
<FONT color="green">1283</FONT>    <a name="line.1283"></a>
<FONT color="green">1284</FONT>            final int nRows = getRowDimension();<a name="line.1284"></a>
<FONT color="green">1285</FONT>            final int nCols = getColumnDimension();<a name="line.1285"></a>
<FONT color="green">1286</FONT>            final BlockFieldMatrix&lt;T&gt; out = new BlockFieldMatrix&lt;T&gt;(getField(), nCols, nRows);<a name="line.1286"></a>
<FONT color="green">1287</FONT>    <a name="line.1287"></a>
<FONT color="green">1288</FONT>            // perform transpose block-wise, to ensure good cache behavior<a name="line.1288"></a>
<FONT color="green">1289</FONT>            int blockIndex = 0;<a name="line.1289"></a>
<FONT color="green">1290</FONT>            for (int iBlock = 0; iBlock &lt; blockColumns; ++iBlock) {<a name="line.1290"></a>
<FONT color="green">1291</FONT>                for (int jBlock = 0; jBlock &lt; blockRows; ++jBlock) {<a name="line.1291"></a>
<FONT color="green">1292</FONT>    <a name="line.1292"></a>
<FONT color="green">1293</FONT>                    // transpose current block<a name="line.1293"></a>
<FONT color="green">1294</FONT>                    final T[] outBlock = out.blocks[blockIndex];<a name="line.1294"></a>
<FONT color="green">1295</FONT>                    final T[] tBlock   = blocks[jBlock * blockColumns + iBlock];<a name="line.1295"></a>
<FONT color="green">1296</FONT>                    final int      pStart   = iBlock * BLOCK_SIZE;<a name="line.1296"></a>
<FONT color="green">1297</FONT>                    final int      pEnd     = FastMath.min(pStart + BLOCK_SIZE, columns);<a name="line.1297"></a>
<FONT color="green">1298</FONT>                    final int      qStart   = jBlock * BLOCK_SIZE;<a name="line.1298"></a>
<FONT color="green">1299</FONT>                    final int      qEnd     = FastMath.min(qStart + BLOCK_SIZE, rows);<a name="line.1299"></a>
<FONT color="green">1300</FONT>                    int k = 0;<a name="line.1300"></a>
<FONT color="green">1301</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1301"></a>
<FONT color="green">1302</FONT>                        final int lInc = pEnd - pStart;<a name="line.1302"></a>
<FONT color="green">1303</FONT>                        int l = p - pStart;<a name="line.1303"></a>
<FONT color="green">1304</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1304"></a>
<FONT color="green">1305</FONT>                            outBlock[k] = tBlock[l];<a name="line.1305"></a>
<FONT color="green">1306</FONT>                            ++k;<a name="line.1306"></a>
<FONT color="green">1307</FONT>                            l+= lInc;<a name="line.1307"></a>
<FONT color="green">1308</FONT>                        }<a name="line.1308"></a>
<FONT color="green">1309</FONT>                    }<a name="line.1309"></a>
<FONT color="green">1310</FONT>    <a name="line.1310"></a>
<FONT color="green">1311</FONT>                    // go to next block<a name="line.1311"></a>
<FONT color="green">1312</FONT>                    ++blockIndex;<a name="line.1312"></a>
<FONT color="green">1313</FONT>    <a name="line.1313"></a>
<FONT color="green">1314</FONT>                }<a name="line.1314"></a>
<FONT color="green">1315</FONT>            }<a name="line.1315"></a>
<FONT color="green">1316</FONT>    <a name="line.1316"></a>
<FONT color="green">1317</FONT>            return out;<a name="line.1317"></a>
<FONT color="green">1318</FONT>    <a name="line.1318"></a>
<FONT color="green">1319</FONT>        }<a name="line.1319"></a>
<FONT color="green">1320</FONT>    <a name="line.1320"></a>
<FONT color="green">1321</FONT>        /** {@inheritDoc} */<a name="line.1321"></a>
<FONT color="green">1322</FONT>        @Override<a name="line.1322"></a>
<FONT color="green">1323</FONT>        public int getRowDimension() {<a name="line.1323"></a>
<FONT color="green">1324</FONT>            return rows;<a name="line.1324"></a>
<FONT color="green">1325</FONT>        }<a name="line.1325"></a>
<FONT color="green">1326</FONT>    <a name="line.1326"></a>
<FONT color="green">1327</FONT>        /** {@inheritDoc} */<a name="line.1327"></a>
<FONT color="green">1328</FONT>        @Override<a name="line.1328"></a>
<FONT color="green">1329</FONT>        public int getColumnDimension() {<a name="line.1329"></a>
<FONT color="green">1330</FONT>            return columns;<a name="line.1330"></a>
<FONT color="green">1331</FONT>        }<a name="line.1331"></a>
<FONT color="green">1332</FONT>    <a name="line.1332"></a>
<FONT color="green">1333</FONT>        /** {@inheritDoc} */<a name="line.1333"></a>
<FONT color="green">1334</FONT>        @Override<a name="line.1334"></a>
<FONT color="green">1335</FONT>        public T[] operate(final T[] v)<a name="line.1335"></a>
<FONT color="green">1336</FONT>            throws IllegalArgumentException {<a name="line.1336"></a>
<FONT color="green">1337</FONT>    <a name="line.1337"></a>
<FONT color="green">1338</FONT>            if (v.length != columns) {<a name="line.1338"></a>
<FONT color="green">1339</FONT>                throw MathRuntimeException.createIllegalArgumentException(<a name="line.1339"></a>
<FONT color="green">1340</FONT>                        LocalizedFormats.VECTOR_LENGTH_MISMATCH,<a name="line.1340"></a>
<FONT color="green">1341</FONT>                        v.length, columns);<a name="line.1341"></a>
<FONT color="green">1342</FONT>            }<a name="line.1342"></a>
<FONT color="green">1343</FONT>            final T[] out = buildArray(getField(), rows);<a name="line.1343"></a>
<FONT color="green">1344</FONT>            final T zero = getField().getZero();<a name="line.1344"></a>
<FONT color="green">1345</FONT>    <a name="line.1345"></a>
<FONT color="green">1346</FONT>            // perform multiplication block-wise, to ensure good cache behavior<a name="line.1346"></a>
<FONT color="green">1347</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1347"></a>
<FONT color="green">1348</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.1348"></a>
<FONT color="green">1349</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1349"></a>
<FONT color="green">1350</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1350"></a>
<FONT color="green">1351</FONT>                    final T[] block  = blocks[iBlock * blockColumns + jBlock];<a name="line.1351"></a>
<FONT color="green">1352</FONT>                    final int      qStart = jBlock * BLOCK_SIZE;<a name="line.1352"></a>
<FONT color="green">1353</FONT>                    final int      qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1353"></a>
<FONT color="green">1354</FONT>                    int k = 0;<a name="line.1354"></a>
<FONT color="green">1355</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1355"></a>
<FONT color="green">1356</FONT>                        T sum = zero;<a name="line.1356"></a>
<FONT color="green">1357</FONT>                        int q = qStart;<a name="line.1357"></a>
<FONT color="green">1358</FONT>                        while (q &lt; qEnd - 3) {<a name="line.1358"></a>
<FONT color="green">1359</FONT>                            sum = sum.<a name="line.1359"></a>
<FONT color="green">1360</FONT>                                  add(block[k].multiply(v[q])).<a name="line.1360"></a>
<FONT color="green">1361</FONT>                                  add(block[k + 1].multiply(v[q + 1])).<a name="line.1361"></a>
<FONT color="green">1362</FONT>                                  add(block[k + 2].multiply(v[q + 2])).<a name="line.1362"></a>
<FONT color="green">1363</FONT>                                  add(block[k + 3].multiply(v[q + 3]));<a name="line.1363"></a>
<FONT color="green">1364</FONT>                            k += 4;<a name="line.1364"></a>
<FONT color="green">1365</FONT>                            q += 4;<a name="line.1365"></a>
<FONT color="green">1366</FONT>                        }<a name="line.1366"></a>
<FONT color="green">1367</FONT>                        while (q &lt; qEnd) {<a name="line.1367"></a>
<FONT color="green">1368</FONT>                            sum = sum.add(block[k++].multiply(v[q++]));<a name="line.1368"></a>
<FONT color="green">1369</FONT>                        }<a name="line.1369"></a>
<FONT color="green">1370</FONT>                        out[p] = out[p].add(sum);<a name="line.1370"></a>
<FONT color="green">1371</FONT>                    }<a name="line.1371"></a>
<FONT color="green">1372</FONT>                }<a name="line.1372"></a>
<FONT color="green">1373</FONT>            }<a name="line.1373"></a>
<FONT color="green">1374</FONT>    <a name="line.1374"></a>
<FONT color="green">1375</FONT>            return out;<a name="line.1375"></a>
<FONT color="green">1376</FONT>    <a name="line.1376"></a>
<FONT color="green">1377</FONT>        }<a name="line.1377"></a>
<FONT color="green">1378</FONT>    <a name="line.1378"></a>
<FONT color="green">1379</FONT>        /** {@inheritDoc} */<a name="line.1379"></a>
<FONT color="green">1380</FONT>        @Override<a name="line.1380"></a>
<FONT color="green">1381</FONT>        public T[] preMultiply(final T[] v)<a name="line.1381"></a>
<FONT color="green">1382</FONT>            throws IllegalArgumentException {<a name="line.1382"></a>
<FONT color="green">1383</FONT>    <a name="line.1383"></a>
<FONT color="green">1384</FONT>            if (v.length != rows) {<a name="line.1384"></a>
<FONT color="green">1385</FONT>                throw MathRuntimeException.createIllegalArgumentException(<a name="line.1385"></a>
<FONT color="green">1386</FONT>                        LocalizedFormats.VECTOR_LENGTH_MISMATCH,<a name="line.1386"></a>
<FONT color="green">1387</FONT>                        v.length, rows);<a name="line.1387"></a>
<FONT color="green">1388</FONT>            }<a name="line.1388"></a>
<FONT color="green">1389</FONT>            final T[] out = buildArray(getField(), columns);<a name="line.1389"></a>
<FONT color="green">1390</FONT>            final T zero = getField().getZero();<a name="line.1390"></a>
<FONT color="green">1391</FONT>    <a name="line.1391"></a>
<FONT color="green">1392</FONT>            // perform multiplication block-wise, to ensure good cache behavior<a name="line.1392"></a>
<FONT color="green">1393</FONT>            for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1393"></a>
<FONT color="green">1394</FONT>                final int jWidth  = blockWidth(jBlock);<a name="line.1394"></a>
<FONT color="green">1395</FONT>                final int jWidth2 = jWidth  + jWidth;<a name="line.1395"></a>
<FONT color="green">1396</FONT>                final int jWidth3 = jWidth2 + jWidth;<a name="line.1396"></a>
<FONT color="green">1397</FONT>                final int jWidth4 = jWidth3 + jWidth;<a name="line.1397"></a>
<FONT color="green">1398</FONT>                final int qStart = jBlock * BLOCK_SIZE;<a name="line.1398"></a>
<FONT color="green">1399</FONT>                final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1399"></a>
<FONT color="green">1400</FONT>                for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1400"></a>
<FONT color="green">1401</FONT>                    final T[] block  = blocks[iBlock * blockColumns + jBlock];<a name="line.1401"></a>
<FONT color="green">1402</FONT>                    final int      pStart = iBlock * BLOCK_SIZE;<a name="line.1402"></a>
<FONT color="green">1403</FONT>                    final int      pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1403"></a>
<FONT color="green">1404</FONT>                    for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1404"></a>
<FONT color="green">1405</FONT>                        int k = q - qStart;<a name="line.1405"></a>
<FONT color="green">1406</FONT>                        T sum = zero;<a name="line.1406"></a>
<FONT color="green">1407</FONT>                        int p = pStart;<a name="line.1407"></a>
<FONT color="green">1408</FONT>                        while (p &lt; pEnd - 3) {<a name="line.1408"></a>
<FONT color="green">1409</FONT>                            sum = sum.<a name="line.1409"></a>
<FONT color="green">1410</FONT>                                  add(block[k].multiply(v[p])).<a name="line.1410"></a>
<FONT color="green">1411</FONT>                                  add(block[k + jWidth].multiply(v[p + 1])).<a name="line.1411"></a>
<FONT color="green">1412</FONT>                                  add(block[k + jWidth2].multiply(v[p + 2])).<a name="line.1412"></a>
<FONT color="green">1413</FONT>                                  add(block[k + jWidth3].multiply(v[p + 3]));<a name="line.1413"></a>
<FONT color="green">1414</FONT>                            k += jWidth4;<a name="line.1414"></a>
<FONT color="green">1415</FONT>                            p += 4;<a name="line.1415"></a>
<FONT color="green">1416</FONT>                        }<a name="line.1416"></a>
<FONT color="green">1417</FONT>                        while (p &lt; pEnd) {<a name="line.1417"></a>
<FONT color="green">1418</FONT>                            sum = sum.add(block[k].multiply(v[p++]));<a name="line.1418"></a>
<FONT color="green">1419</FONT>                            k += jWidth;<a name="line.1419"></a>
<FONT color="green">1420</FONT>                        }<a name="line.1420"></a>
<FONT color="green">1421</FONT>                        out[q] = out[q].add(sum);<a name="line.1421"></a>
<FONT color="green">1422</FONT>                    }<a name="line.1422"></a>
<FONT color="green">1423</FONT>                }<a name="line.1423"></a>
<FONT color="green">1424</FONT>            }<a name="line.1424"></a>
<FONT color="green">1425</FONT>    <a name="line.1425"></a>
<FONT color="green">1426</FONT>            return out;<a name="line.1426"></a>
<FONT color="green">1427</FONT>    <a name="line.1427"></a>
<FONT color="green">1428</FONT>        }<a name="line.1428"></a>
<FONT color="green">1429</FONT>    <a name="line.1429"></a>
<FONT color="green">1430</FONT>        /** {@inheritDoc} */<a name="line.1430"></a>
<FONT color="green">1431</FONT>        @Override<a name="line.1431"></a>
<FONT color="green">1432</FONT>        public T walkInRowOrder(final FieldMatrixChangingVisitor&lt;T&gt; visitor)<a name="line.1432"></a>
<FONT color="green">1433</FONT>            throws MatrixVisitorException {<a name="line.1433"></a>
<FONT color="green">1434</FONT>            visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1434"></a>
<FONT color="green">1435</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1435"></a>
<FONT color="green">1436</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.1436"></a>
<FONT color="green">1437</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1437"></a>
<FONT color="green">1438</FONT>                for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1438"></a>
<FONT color="green">1439</FONT>                    for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1439"></a>
<FONT color="green">1440</FONT>                        final int jWidth = blockWidth(jBlock);<a name="line.1440"></a>
<FONT color="green">1441</FONT>                        final int qStart = jBlock * BLOCK_SIZE;<a name="line.1441"></a>
<FONT color="green">1442</FONT>                        final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1442"></a>
<FONT color="green">1443</FONT>                        final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1443"></a>
<FONT color="green">1444</FONT>                        int k = (p - pStart) * jWidth;<a name="line.1444"></a>
<FONT color="green">1445</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1445"></a>
<FONT color="green">1446</FONT>                            block[k] = visitor.visit(p, q, block[k]);<a name="line.1446"></a>
<FONT color="green">1447</FONT>                            ++k;<a name="line.1447"></a>
<FONT color="green">1448</FONT>                        }<a name="line.1448"></a>
<FONT color="green">1449</FONT>                    }<a name="line.1449"></a>
<FONT color="green">1450</FONT>                 }<a name="line.1450"></a>
<FONT color="green">1451</FONT>            }<a name="line.1451"></a>
<FONT color="green">1452</FONT>            return visitor.end();<a name="line.1452"></a>
<FONT color="green">1453</FONT>        }<a name="line.1453"></a>
<FONT color="green">1454</FONT>    <a name="line.1454"></a>
<FONT color="green">1455</FONT>        /** {@inheritDoc} */<a name="line.1455"></a>
<FONT color="green">1456</FONT>        @Override<a name="line.1456"></a>
<FONT color="green">1457</FONT>        public T walkInRowOrder(final FieldMatrixPreservingVisitor&lt;T&gt; visitor)<a name="line.1457"></a>
<FONT color="green">1458</FONT>            throws MatrixVisitorException {<a name="line.1458"></a>
<FONT color="green">1459</FONT>            visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1459"></a>
<FONT color="green">1460</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1460"></a>
<FONT color="green">1461</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.1461"></a>
<FONT color="green">1462</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1462"></a>
<FONT color="green">1463</FONT>                for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1463"></a>
<FONT color="green">1464</FONT>                    for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1464"></a>
<FONT color="green">1465</FONT>                        final int jWidth = blockWidth(jBlock);<a name="line.1465"></a>
<FONT color="green">1466</FONT>                        final int qStart = jBlock * BLOCK_SIZE;<a name="line.1466"></a>
<FONT color="green">1467</FONT>                        final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1467"></a>
<FONT color="green">1468</FONT>                        final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1468"></a>
<FONT color="green">1469</FONT>                        int k = (p - pStart) * jWidth;<a name="line.1469"></a>
<FONT color="green">1470</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1470"></a>
<FONT color="green">1471</FONT>                            visitor.visit(p, q, block[k]);<a name="line.1471"></a>
<FONT color="green">1472</FONT>                            ++k;<a name="line.1472"></a>
<FONT color="green">1473</FONT>                        }<a name="line.1473"></a>
<FONT color="green">1474</FONT>                    }<a name="line.1474"></a>
<FONT color="green">1475</FONT>                 }<a name="line.1475"></a>
<FONT color="green">1476</FONT>            }<a name="line.1476"></a>
<FONT color="green">1477</FONT>            return visitor.end();<a name="line.1477"></a>
<FONT color="green">1478</FONT>        }<a name="line.1478"></a>
<FONT color="green">1479</FONT>    <a name="line.1479"></a>
<FONT color="green">1480</FONT>        /** {@inheritDoc} */<a name="line.1480"></a>
<FONT color="green">1481</FONT>        @Override<a name="line.1481"></a>
<FONT color="green">1482</FONT>        public T walkInRowOrder(final FieldMatrixChangingVisitor&lt;T&gt; visitor,<a name="line.1482"></a>
<FONT color="green">1483</FONT>                                     final int startRow, final int endRow,<a name="line.1483"></a>
<FONT color="green">1484</FONT>                                     final int startColumn, final int endColumn)<a name="line.1484"></a>
<FONT color="green">1485</FONT>            throws MatrixIndexException, MatrixVisitorException {<a name="line.1485"></a>
<FONT color="green">1486</FONT>            checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1486"></a>
<FONT color="green">1487</FONT>            visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1487"></a>
<FONT color="green">1488</FONT>            for (int iBlock = startRow / BLOCK_SIZE; iBlock &lt; 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1488"></a>
<FONT color="green">1489</FONT>                final int p0     = iBlock * BLOCK_SIZE;<a name="line.1489"></a>
<FONT color="green">1490</FONT>                final int pStart = FastMath.max(startRow, p0);<a name="line.1490"></a>
<FONT color="green">1491</FONT>                final int pEnd   = FastMath.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1491"></a>
<FONT color="green">1492</FONT>                for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1492"></a>
<FONT color="green">1493</FONT>                    for (int jBlock = startColumn / BLOCK_SIZE; jBlock &lt; 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1493"></a>
<FONT color="green">1494</FONT>                        final int jWidth = blockWidth(jBlock);<a name="line.1494"></a>
<FONT color="green">1495</FONT>                        final int q0     = jBlock * BLOCK_SIZE;<a name="line.1495"></a>
<FONT color="green">1496</FONT>                        final int qStart = FastMath.max(startColumn, q0);<a name="line.1496"></a>
<FONT color="green">1497</FONT>                        final int qEnd   = FastMath.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1497"></a>
<FONT color="green">1498</FONT>                        final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1498"></a>
<FONT color="green">1499</FONT>                        int k = (p - p0) * jWidth + qStart - q0;<a name="line.1499"></a>
<FONT color="green">1500</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1500"></a>
<FONT color="green">1501</FONT>                            block[k] = visitor.visit(p, q, block[k]);<a name="line.1501"></a>
<FONT color="green">1502</FONT>                            ++k;<a name="line.1502"></a>
<FONT color="green">1503</FONT>                        }<a name="line.1503"></a>
<FONT color="green">1504</FONT>                    }<a name="line.1504"></a>
<FONT color="green">1505</FONT>                 }<a name="line.1505"></a>
<FONT color="green">1506</FONT>            }<a name="line.1506"></a>
<FONT color="green">1507</FONT>            return visitor.end();<a name="line.1507"></a>
<FONT color="green">1508</FONT>        }<a name="line.1508"></a>
<FONT color="green">1509</FONT>    <a name="line.1509"></a>
<FONT color="green">1510</FONT>        /** {@inheritDoc} */<a name="line.1510"></a>
<FONT color="green">1511</FONT>        @Override<a name="line.1511"></a>
<FONT color="green">1512</FONT>        public T walkInRowOrder(final FieldMatrixPreservingVisitor&lt;T&gt; visitor,<a name="line.1512"></a>
<FONT color="green">1513</FONT>                                     final int startRow, final int endRow,<a name="line.1513"></a>
<FONT color="green">1514</FONT>                                     final int startColumn, final int endColumn)<a name="line.1514"></a>
<FONT color="green">1515</FONT>            throws MatrixIndexException, MatrixVisitorException {<a name="line.1515"></a>
<FONT color="green">1516</FONT>            checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1516"></a>
<FONT color="green">1517</FONT>            visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1517"></a>
<FONT color="green">1518</FONT>            for (int iBlock = startRow / BLOCK_SIZE; iBlock &lt; 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1518"></a>
<FONT color="green">1519</FONT>                final int p0     = iBlock * BLOCK_SIZE;<a name="line.1519"></a>
<FONT color="green">1520</FONT>                final int pStart = FastMath.max(startRow, p0);<a name="line.1520"></a>
<FONT color="green">1521</FONT>                final int pEnd   = FastMath.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1521"></a>
<FONT color="green">1522</FONT>                for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1522"></a>
<FONT color="green">1523</FONT>                    for (int jBlock = startColumn / BLOCK_SIZE; jBlock &lt; 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1523"></a>
<FONT color="green">1524</FONT>                        final int jWidth = blockWidth(jBlock);<a name="line.1524"></a>
<FONT color="green">1525</FONT>                        final int q0     = jBlock * BLOCK_SIZE;<a name="line.1525"></a>
<FONT color="green">1526</FONT>                        final int qStart = FastMath.max(startColumn, q0);<a name="line.1526"></a>
<FONT color="green">1527</FONT>                        final int qEnd   = FastMath.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1527"></a>
<FONT color="green">1528</FONT>                        final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1528"></a>
<FONT color="green">1529</FONT>                        int k = (p - p0) * jWidth + qStart - q0;<a name="line.1529"></a>
<FONT color="green">1530</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1530"></a>
<FONT color="green">1531</FONT>                            visitor.visit(p, q, block[k]);<a name="line.1531"></a>
<FONT color="green">1532</FONT>                            ++k;<a name="line.1532"></a>
<FONT color="green">1533</FONT>                        }<a name="line.1533"></a>
<FONT color="green">1534</FONT>                    }<a name="line.1534"></a>
<FONT color="green">1535</FONT>                 }<a name="line.1535"></a>
<FONT color="green">1536</FONT>            }<a name="line.1536"></a>
<FONT color="green">1537</FONT>            return visitor.end();<a name="line.1537"></a>
<FONT color="green">1538</FONT>        }<a name="line.1538"></a>
<FONT color="green">1539</FONT>    <a name="line.1539"></a>
<FONT color="green">1540</FONT>        /** {@inheritDoc} */<a name="line.1540"></a>
<FONT color="green">1541</FONT>        @Override<a name="line.1541"></a>
<FONT color="green">1542</FONT>        public T walkInOptimizedOrder(final FieldMatrixChangingVisitor&lt;T&gt; visitor)<a name="line.1542"></a>
<FONT color="green">1543</FONT>            throws MatrixVisitorException {<a name="line.1543"></a>
<FONT color="green">1544</FONT>            visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1544"></a>
<FONT color="green">1545</FONT>            int blockIndex = 0;<a name="line.1545"></a>
<FONT color="green">1546</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1546"></a>
<FONT color="green">1547</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.1547"></a>
<FONT color="green">1548</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1548"></a>
<FONT color="green">1549</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1549"></a>
<FONT color="green">1550</FONT>                    final int qStart = jBlock * BLOCK_SIZE;<a name="line.1550"></a>
<FONT color="green">1551</FONT>                    final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1551"></a>
<FONT color="green">1552</FONT>                    final T[] block = blocks[blockIndex];<a name="line.1552"></a>
<FONT color="green">1553</FONT>                    int k = 0;<a name="line.1553"></a>
<FONT color="green">1554</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1554"></a>
<FONT color="green">1555</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1555"></a>
<FONT color="green">1556</FONT>                            block[k] = visitor.visit(p, q, block[k]);<a name="line.1556"></a>
<FONT color="green">1557</FONT>                            ++k;<a name="line.1557"></a>
<FONT color="green">1558</FONT>                        }<a name="line.1558"></a>
<FONT color="green">1559</FONT>                    }<a name="line.1559"></a>
<FONT color="green">1560</FONT>                    ++blockIndex;<a name="line.1560"></a>
<FONT color="green">1561</FONT>                }<a name="line.1561"></a>
<FONT color="green">1562</FONT>            }<a name="line.1562"></a>
<FONT color="green">1563</FONT>            return visitor.end();<a name="line.1563"></a>
<FONT color="green">1564</FONT>        }<a name="line.1564"></a>
<FONT color="green">1565</FONT>    <a name="line.1565"></a>
<FONT color="green">1566</FONT>        /** {@inheritDoc} */<a name="line.1566"></a>
<FONT color="green">1567</FONT>        @Override<a name="line.1567"></a>
<FONT color="green">1568</FONT>        public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor&lt;T&gt; visitor)<a name="line.1568"></a>
<FONT color="green">1569</FONT>            throws MatrixVisitorException {<a name="line.1569"></a>
<FONT color="green">1570</FONT>            visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);<a name="line.1570"></a>
<FONT color="green">1571</FONT>            int blockIndex = 0;<a name="line.1571"></a>
<FONT color="green">1572</FONT>            for (int iBlock = 0; iBlock &lt; blockRows; ++iBlock) {<a name="line.1572"></a>
<FONT color="green">1573</FONT>                final int pStart = iBlock * BLOCK_SIZE;<a name="line.1573"></a>
<FONT color="green">1574</FONT>                final int pEnd   = FastMath.min(pStart + BLOCK_SIZE, rows);<a name="line.1574"></a>
<FONT color="green">1575</FONT>                for (int jBlock = 0; jBlock &lt; blockColumns; ++jBlock) {<a name="line.1575"></a>
<FONT color="green">1576</FONT>                    final int qStart = jBlock * BLOCK_SIZE;<a name="line.1576"></a>
<FONT color="green">1577</FONT>                    final int qEnd   = FastMath.min(qStart + BLOCK_SIZE, columns);<a name="line.1577"></a>
<FONT color="green">1578</FONT>                    final T[] block = blocks[blockIndex];<a name="line.1578"></a>
<FONT color="green">1579</FONT>                    int k = 0;<a name="line.1579"></a>
<FONT color="green">1580</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1580"></a>
<FONT color="green">1581</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1581"></a>
<FONT color="green">1582</FONT>                            visitor.visit(p, q, block[k]);<a name="line.1582"></a>
<FONT color="green">1583</FONT>                            ++k;<a name="line.1583"></a>
<FONT color="green">1584</FONT>                        }<a name="line.1584"></a>
<FONT color="green">1585</FONT>                    }<a name="line.1585"></a>
<FONT color="green">1586</FONT>                    ++blockIndex;<a name="line.1586"></a>
<FONT color="green">1587</FONT>                }<a name="line.1587"></a>
<FONT color="green">1588</FONT>            }<a name="line.1588"></a>
<FONT color="green">1589</FONT>            return visitor.end();<a name="line.1589"></a>
<FONT color="green">1590</FONT>        }<a name="line.1590"></a>
<FONT color="green">1591</FONT>    <a name="line.1591"></a>
<FONT color="green">1592</FONT>        /** {@inheritDoc} */<a name="line.1592"></a>
<FONT color="green">1593</FONT>        @Override<a name="line.1593"></a>
<FONT color="green">1594</FONT>        public T walkInOptimizedOrder(final FieldMatrixChangingVisitor&lt;T&gt; visitor,<a name="line.1594"></a>
<FONT color="green">1595</FONT>                                           final int startRow, final int endRow,<a name="line.1595"></a>
<FONT color="green">1596</FONT>                                           final int startColumn, final int endColumn)<a name="line.1596"></a>
<FONT color="green">1597</FONT>            throws MatrixIndexException, MatrixVisitorException {<a name="line.1597"></a>
<FONT color="green">1598</FONT>            checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1598"></a>
<FONT color="green">1599</FONT>            visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1599"></a>
<FONT color="green">1600</FONT>            for (int iBlock = startRow / BLOCK_SIZE; iBlock &lt; 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1600"></a>
<FONT color="green">1601</FONT>                final int p0     = iBlock * BLOCK_SIZE;<a name="line.1601"></a>
<FONT color="green">1602</FONT>                final int pStart = FastMath.max(startRow, p0);<a name="line.1602"></a>
<FONT color="green">1603</FONT>                final int pEnd   = FastMath.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1603"></a>
<FONT color="green">1604</FONT>                for (int jBlock = startColumn / BLOCK_SIZE; jBlock &lt; 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1604"></a>
<FONT color="green">1605</FONT>                    final int jWidth = blockWidth(jBlock);<a name="line.1605"></a>
<FONT color="green">1606</FONT>                    final int q0     = jBlock * BLOCK_SIZE;<a name="line.1606"></a>
<FONT color="green">1607</FONT>                    final int qStart = FastMath.max(startColumn, q0);<a name="line.1607"></a>
<FONT color="green">1608</FONT>                    final int qEnd   = FastMath.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1608"></a>
<FONT color="green">1609</FONT>                    final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1609"></a>
<FONT color="green">1610</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1610"></a>
<FONT color="green">1611</FONT>                        int k = (p - p0) * jWidth + qStart - q0;<a name="line.1611"></a>
<FONT color="green">1612</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1612"></a>
<FONT color="green">1613</FONT>                            block[k] = visitor.visit(p, q, block[k]);<a name="line.1613"></a>
<FONT color="green">1614</FONT>                            ++k;<a name="line.1614"></a>
<FONT color="green">1615</FONT>                        }<a name="line.1615"></a>
<FONT color="green">1616</FONT>                    }<a name="line.1616"></a>
<FONT color="green">1617</FONT>                }<a name="line.1617"></a>
<FONT color="green">1618</FONT>            }<a name="line.1618"></a>
<FONT color="green">1619</FONT>            return visitor.end();<a name="line.1619"></a>
<FONT color="green">1620</FONT>        }<a name="line.1620"></a>
<FONT color="green">1621</FONT>    <a name="line.1621"></a>
<FONT color="green">1622</FONT>        /** {@inheritDoc} */<a name="line.1622"></a>
<FONT color="green">1623</FONT>        @Override<a name="line.1623"></a>
<FONT color="green">1624</FONT>        public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor&lt;T&gt; visitor,<a name="line.1624"></a>
<FONT color="green">1625</FONT>                                           final int startRow, final int endRow,<a name="line.1625"></a>
<FONT color="green">1626</FONT>                                           final int startColumn, final int endColumn)<a name="line.1626"></a>
<FONT color="green">1627</FONT>            throws MatrixIndexException, MatrixVisitorException {<a name="line.1627"></a>
<FONT color="green">1628</FONT>            checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);<a name="line.1628"></a>
<FONT color="green">1629</FONT>            visitor.start(rows, columns, startRow, endRow, startColumn, endColumn);<a name="line.1629"></a>
<FONT color="green">1630</FONT>            for (int iBlock = startRow / BLOCK_SIZE; iBlock &lt; 1 + endRow / BLOCK_SIZE; ++iBlock) {<a name="line.1630"></a>
<FONT color="green">1631</FONT>                final int p0     = iBlock * BLOCK_SIZE;<a name="line.1631"></a>
<FONT color="green">1632</FONT>                final int pStart = FastMath.max(startRow, p0);<a name="line.1632"></a>
<FONT color="green">1633</FONT>                final int pEnd   = FastMath.min((iBlock + 1) * BLOCK_SIZE, 1 + endRow);<a name="line.1633"></a>
<FONT color="green">1634</FONT>                for (int jBlock = startColumn / BLOCK_SIZE; jBlock &lt; 1 + endColumn / BLOCK_SIZE; ++jBlock) {<a name="line.1634"></a>
<FONT color="green">1635</FONT>                    final int jWidth = blockWidth(jBlock);<a name="line.1635"></a>
<FONT color="green">1636</FONT>                    final int q0     = jBlock * BLOCK_SIZE;<a name="line.1636"></a>
<FONT color="green">1637</FONT>                    final int qStart = FastMath.max(startColumn, q0);<a name="line.1637"></a>
<FONT color="green">1638</FONT>                    final int qEnd   = FastMath.min((jBlock + 1) * BLOCK_SIZE, 1 + endColumn);<a name="line.1638"></a>
<FONT color="green">1639</FONT>                    final T[] block = blocks[iBlock * blockColumns + jBlock];<a name="line.1639"></a>
<FONT color="green">1640</FONT>                    for (int p = pStart; p &lt; pEnd; ++p) {<a name="line.1640"></a>
<FONT color="green">1641</FONT>                        int k = (p - p0) * jWidth + qStart - q0;<a name="line.1641"></a>
<FONT color="green">1642</FONT>                        for (int q = qStart; q &lt; qEnd; ++q) {<a name="line.1642"></a>
<FONT color="green">1643</FONT>                            visitor.visit(p, q, block[k]);<a name="line.1643"></a>
<FONT color="green">1644</FONT>                            ++k;<a name="line.1644"></a>
<FONT color="green">1645</FONT>                        }<a name="line.1645"></a>
<FONT color="green">1646</FONT>                    }<a name="line.1646"></a>
<FONT color="green">1647</FONT>                }<a name="line.1647"></a>
<FONT color="green">1648</FONT>            }<a name="line.1648"></a>
<FONT color="green">1649</FONT>            return visitor.end();<a name="line.1649"></a>
<FONT color="green">1650</FONT>        }<a name="line.1650"></a>
<FONT color="green">1651</FONT>    <a name="line.1651"></a>
<FONT color="green">1652</FONT>        /**<a name="line.1652"></a>
<FONT color="green">1653</FONT>         * Get the height of a block.<a name="line.1653"></a>
<FONT color="green">1654</FONT>         * @param blockRow row index (in block sense) of the block<a name="line.1654"></a>
<FONT color="green">1655</FONT>         * @return height (number of rows) of the block<a name="line.1655"></a>
<FONT color="green">1656</FONT>         */<a name="line.1656"></a>
<FONT color="green">1657</FONT>        private int blockHeight(final int blockRow) {<a name="line.1657"></a>
<FONT color="green">1658</FONT>            return (blockRow == blockRows - 1) ? rows - blockRow * BLOCK_SIZE : BLOCK_SIZE;<a name="line.1658"></a>
<FONT color="green">1659</FONT>        }<a name="line.1659"></a>
<FONT color="green">1660</FONT>    <a name="line.1660"></a>
<FONT color="green">1661</FONT>        /**<a name="line.1661"></a>
<FONT color="green">1662</FONT>         * Get the width of a block.<a name="line.1662"></a>
<FONT color="green">1663</FONT>         * @param blockColumn column index (in block sense) of the block<a name="line.1663"></a>
<FONT color="green">1664</FONT>         * @return width (number of columns) of the block<a name="line.1664"></a>
<FONT color="green">1665</FONT>         */<a name="line.1665"></a>
<FONT color="green">1666</FONT>        private int blockWidth(final int blockColumn) {<a name="line.1666"></a>
<FONT color="green">1667</FONT>            return (blockColumn == blockColumns - 1) ? columns - blockColumn * BLOCK_SIZE : BLOCK_SIZE;<a name="line.1667"></a>
<FONT color="green">1668</FONT>        }<a name="line.1668"></a>
<FONT color="green">1669</FONT>    <a name="line.1669"></a>
<FONT color="green">1670</FONT>    }<a name="line.1670"></a>




























































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